BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Solutions

Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

Set up an equation and solve each of the following problems (Objective 3).

Plane A can travel 1400  miles in 1 hour less than it takes plane B to travel 2000 miles .The rate of plane B is 50 miles per hour greater than the rate of plane A. Find the times and rates of both planes.

To determine

To Find:

The rates and times for both planes.

Explanation

Approach:

For the uniform motion the rate or speed can be expressed as.

s=dt

Here, the travelled distance is d and rate is s and total travel time is t.

Calculation:

Consider the time taken in travelling for plane B is t, then the time taken in travelling for plane A is t1.

The rate of travel for plane A can be expressed as.

sa=1400milest1................(1)

The rate of travel for plane B can be expressed as.

sb=2000milest...................(2)

As mentioned in the problem

sb=50+sa....................(3).

Substitute the value of sbandsa in equation (3).

2000t=50+1400(t1)=50(t1)+1400(t1)2000(t1)=50t(t1)+1400t2000t2000=50t250t+1400t

Further solving.

50t2650t+2000=0t213t+40=0t28t5t+40=0t(t8)5(t8)=0

Further solving.

(t8)(t5)=0

Therefore,

(t8)=0t=8

And,

(t5)=0t=5

Here, both time values can be possible

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-4.1 P-1PSSect-4.1 P-2PSSect-4.1 P-3PSSect-4.1 P-4PSSect-4.1 P-5PSSect-4.1 P-6PSSect-4.1 P-7PSSect-4.1 P-8PSSect-4.1 P-9PSSect-4.1 P-10PSSect-4.1 P-11PSSect-4.1 P-12PSSect-4.1 P-13PSSect-4.1 P-14PSSect-4.1 P-15PSSect-4.1 P-16PSSect-4.1 P-17PSSect-4.1 P-18PSSect-4.1 P-19PSSect-4.1 P-20PSSect-4.1 P-21PSSect-4.1 P-22PSSect-4.1 P-23PSSect-4.1 P-24PSSect-4.1 P-25PSSect-4.1 P-26PSSect-4.1 P-27PSSect-4.1 P-28PSSect-4.1 P-29PSSect-4.1 P-30PSSect-4.1 P-31PSSect-4.1 P-32PSSect-4.1 P-33PSSect-4.1 P-34PSSect-4.1 P-35PSSect-4.1 P-36PSSect-4.1 P-37PSSect-4.1 P-38PSSect-4.1 P-39PSSect-4.1 P-40PSSect-4.1 P-41PSSect-4.1 P-42PSSect-4.1 P-43PSSect-4.1 P-44PSSect-4.1 P-45PSSect-4.1 P-46PSSect-4.1 P-47PSSect-4.1 P-48PSSect-4.1 P-49PSSect-4.1 P-50PSSect-4.1 P-51PSSect-4.1 P-52PSSect-4.1 P-53PSSect-4.1 P-54PSSect-4.1 P-55PSSect-4.1 P-56PSSect-4.1 P-57PSSect-4.1 P-58PSSect-4.1 P-59PSSect-4.1 P-60PSSect-4.1 P-61PSSect-4.1 P-62PSSect-4.1 P-63PSSect-4.1 P-64PSSect-4.1 P-65PSSect-4.1 P-66PSSect-4.1 P-67PSSect-4.1 P-68PSSect-4.1 P-69PSSect-4.1 P-70PSSect-4.1 P-71PSSect-4.1 P-72PSSect-4.2 P-1CQSect-4.2 P-2CQSect-4.2 P-3CQSect-4.2 P-4CQSect-4.2 P-5CQSect-4.2 P-6CQSect-4.2 P-7CQSect-4.2 P-8CQSect-4.2 P-9CQSect-4.2 P-10CQSect-4.2 P-1PSSect-4.2 P-2PSSect-4.2 P-3PSSect-4.2 P-4PSSect-4.2 P-5PSSect-4.2 P-6PSSect-4.2 P-7PSSect-4.2 P-8PSSect-4.2 P-9PSSect-4.2 P-10PSSect-4.2 P-11PSSect-4.2 P-12PSSect-4.2 P-13PSSect-4.2 P-14PSSect-4.2 P-15PSSect-4.2 P-16PSSect-4.2 P-17PSSect-4.2 P-18PSSect-4.2 P-19PSSect-4.2 P-20PSSect-4.2 P-21PSSect-4.2 P-22PSSect-4.2 P-23PSSect-4.2 P-24PSSect-4.2 P-25PSSect-4.2 P-26PSSect-4.2 P-27PSSect-4.2 P-28PSSect-4.2 P-29PSSect-4.2 P-30PSSect-4.2 P-31PSSect-4.2 P-32PSSect-4.2 P-33PSSect-4.2 P-34PSSect-4.2 P-35PSSect-4.2 P-36PSSect-4.2 P-37PSSect-4.2 P-38PSSect-4.2 P-39PSSect-4.2 P-40PSSect-4.2 P-41PSSect-4.2 P-42PSSect-4.2 P-43PSSect-4.2 P-44PSSect-4.2 P-45PSSect-4.2 P-46PSSect-4.2 P-47PSSect-4.2 P-48PSSect-4.2 P-49PSSect-4.2 P-50PSSect-4.2 P-51PSSect-4.2 P-52PSSect-4.2 P-53PSSect-4.3 P-1CQSect-4.3 P-2CQSect-4.3 P-3CQSect-4.3 P-4CQSect-4.3 P-5CQSect-4.3 P-6CQSect-4.3 P-7CQSect-4.3 P-8CQSect-4.3 P-9CQSect-4.3 P-10CQSect-4.3 P-1PSSect-4.3 P-2PSSect-4.3 P-3PSSect-4.3 P-4PSSect-4.3 P-5PSSect-4.3 P-6PSSect-4.3 P-7PSSect-4.3 P-8PSSect-4.3 P-9PSSect-4.3 P-10PSSect-4.3 P-11PSSect-4.3 P-12PSSect-4.3 P-13PSSect-4.3 P-14PSSect-4.3 P-15PSSect-4.3 P-16PSSect-4.3 P-17PSSect-4.3 P-18PSSect-4.3 P-19PSSect-4.3 P-20PSSect-4.3 P-21PSSect-4.3 P-22PSSect-4.3 P-23PSSect-4.3 P-24PSSect-4.3 P-25PSSect-4.3 P-26PSSect-4.3 P-27PSSect-4.3 P-28PSSect-4.3 P-29PSSect-4.3 P-30PSSect-4.3 P-31PSSect-4.3 P-32PSSect-4.3 P-33PSSect-4.3 P-34PSSect-4.3 P-35PSSect-4.3 P-36PSSect-4.3 P-37PSSect-4.3 P-38PSSect-4.3 P-39PSSect-4.3 P-40PSSect-4.3 P-41PSSect-4.3 P-42PSSect-4.3 P-43PSSect-4.3 P-44PSSect-4.3 P-45PSSect-4.3 P-46PSSect-4.3 P-47PSSect-4.3 P-48PSSect-4.3 P-49PSSect-4.3 P-50PSSect-4.3 P-51PSSect-4.3 P-52PSSect-4.3 P-53PSSect-4.3 P-54PSSect-4.3 P-55PSSect-4.3 P-56PSSect-4.3 P-57PSSect-4.3 P-58PSSect-4.3 P-59PSSect-4.3 P-60PSSect-4.3 P-61PSSect-4.3 P-62PSSect-4.3 P-63PSSect-4.3 P-64PSSect-4.3 P-65PSSect-4.3 P-66PSSect-4.3 P-67PSSect-4.3 P-68PSSect-4.3 P-69PSSect-4.3 P-70PSSect-4.3 P-71PSSect-4.3 P-72PSSect-4.4 P-1CQSect-4.4 P-2CQSect-4.4 P-3CQSect-4.4 P-4CQSect-4.4 P-5CQSect-4.4 P-6CQSect-4.4 P-7CQSect-4.4 P-8CQSect-4.4 P-1PSSect-4.4 P-2PSSect-4.4 P-3PSSect-4.4 P-4PSSect-4.4 P-5PSSect-4.4 P-6PSSect-4.4 P-7PSSect-4.4 P-8PSSect-4.4 P-9PSSect-4.4 P-10PSSect-4.4 P-11PSSect-4.4 P-12PSSect-4.4 P-13PSSect-4.4 P-14PSSect-4.4 P-15PSSect-4.4 P-16PSSect-4.4 P-17PSSect-4.4 P-18PSSect-4.4 P-19PSSect-4.4 P-20PSSect-4.4 P-21PSSect-4.4 P-22PSSect-4.4 P-23PSSect-4.4 P-24PSSect-4.4 P-25PSSect-4.4 P-26PSSect-4.4 P-27PSSect-4.4 P-28PSSect-4.4 P-29PSSect-4.4 P-30PSSect-4.4 P-31PSSect-4.4 P-32PSSect-4.4 P-33PSSect-4.4 P-34PSSect-4.4 P-35PSSect-4.4 P-36PSSect-4.4 P-37PSSect-4.4 P-38PSSect-4.4 P-39PSSect-4.4 P-40PSSect-4.4 P-41PSSect-4.4 P-42PSSect-4.4 P-43PSSect-4.4 P-44PSSect-4.4 P-45PSSect-4.4 P-46PSSect-4.4 P-47PSSect-4.4 P-48PSSect-4.4 P-49PSSect-4.4 P-50PSSect-4.4 P-51PSSect-4.4 P-52PSSect-4.4 P-53PSSect-4.4 P-54PSSect-4.4 P-55PSSect-4.4 P-56PSSect-4.4 P-57PSSect-4.4 P-58PSSect-4.4 P-59PSSect-4.4 P-60PSSect-4.4 P-61PSSect-4.4 P-62PSSect-4.4 P-63PSSect-4.4 P-64PSSect-4.4 P-65PSSect-4.4 P-66PSSect-4.5 P-1CQSect-4.5 P-2CQSect-4.5 P-3CQSect-4.5 P-4CQSect-4.5 P-5CQSect-4.5 P-6CQSect-4.5 P-7CQSect-4.5 P-8CQSect-4.5 P-9CQSect-4.5 P-10CQSect-4.5 P-1PSSect-4.5 P-2PSSect-4.5 P-3PSSect-4.5 P-4PSSect-4.5 P-5PSSect-4.5 P-6PSSect-4.5 P-7PSSect-4.5 P-8PSSect-4.5 P-9PSSect-4.5 P-10PSSect-4.5 P-11PSSect-4.5 P-12PSSect-4.5 P-13PSSect-4.5 P-14PSSect-4.5 P-15PSSect-4.5 P-16PSSect-4.5 P-17PSSect-4.5 P-18PSSect-4.5 P-19PSSect-4.5 P-20PSSect-4.5 P-21PSSect-4.5 P-22PSSect-4.5 P-23PSSect-4.5 P-24PSSect-4.5 P-25PSSect-4.5 P-26PSSect-4.5 P-27PSSect-4.5 P-28PSSect-4.5 P-29PSSect-4.5 P-30PSSect-4.5 P-31PSSect-4.5 P-32PSSect-4.5 P-33PSSect-4.5 P-34PSSect-4.5 P-35PSSect-4.5 P-36PSSect-4.5 P-37PSSect-4.5 P-38PSSect-4.5 P-39PSSect-4.5 P-40PSSect-4.5 P-41PSSect-4.5 P-42PSSect-4.5 P-43PSSect-4.5 P-44PSSect-4.5 P-45PSSect-4.5 P-46PSSect-4.5 P-47PSSect-4.5 P-48PSSect-4.5 P-49PSSect-4.5 P-50PSSect-4.5 P-51PSSect-4.5 P-52PSSect-4.5 P-53PSSect-4.5 P-54PSSect-4.5 P-55PSSect-4.5 P-56PSSect-4.5 P-57PSSect-4.5 P-58PSSect-4.5 P-59PSSect-4.5 P-60PSSect-4.5 P-61PSSect-4.5 P-62PSSect-4.5 P-63PSSect-4.5 P-64PSSect-4.5 P-65PSSect-4.5 P-66PSSect-4.5 P-67PSSect-4.6 P-1CQSect-4.6 P-2CQSect-4.6 P-3CQSect-4.6 P-4CQSect-4.6 P-5CQSect-4.6 P-6CQSect-4.6 P-7CQSect-4.6 P-8CQSect-4.6 P-9CQSect-4.6 P-10CQSect-4.6 P-1PSSect-4.6 P-2PSSect-4.6 P-3PSSect-4.6 P-4PSSect-4.6 P-5PSSect-4.6 P-6PSSect-4.6 P-7PSSect-4.6 P-8PSSect-4.6 P-9PSSect-4.6 P-10PSSect-4.6 P-11PSSect-4.6 P-12PSSect-4.6 P-13PSSect-4.6 P-14PSSect-4.6 P-15PSSect-4.6 P-16PSSect-4.6 P-17PSSect-4.6 P-18PSSect-4.6 P-19PSSect-4.6 P-20PSSect-4.6 P-21PSSect-4.6 P-22PSSect-4.6 P-23PSSect-4.6 P-24PSSect-4.6 P-25PSSect-4.6 P-26PSSect-4.6 P-27PSSect-4.6 P-28PSSect-4.6 P-29PSSect-4.6 P-30PSSect-4.6 P-31PSSect-4.6 P-32PSSect-4.6 P-33PSSect-4.6 P-34PSSect-4.6 P-35PSSect-4.6 P-36PSSect-4.6 P-37PSSect-4.6 P-38PSSect-4.6 P-39PSSect-4.6 P-40PSSect-4.6 P-41PSSect-4.6 P-42PSSect-4.6 P-43PSSect-4.6 P-44PSSect-4.6 P-45PSSect-4.6 P-46PSSect-4.6 P-47PSSect-4.6 P-48PSSect-4.6 P-49PSSect-4.6 P-50PSSect-4.6 P-51PSSect-4.6 P-52PSSect-4.6 P-53PSSect-4.6 P-54PSSect-4.6 P-55PSSect-4.6 P-56PSSect-4.6 P-57PSSect-4.6 P-58PSSect-4.6 P-59PSSect-4.7 P-1CQSect-4.7 P-2CQSect-4.7 P-3CQSect-4.7 P-4CQSect-4.7 P-5CQSect-4.7 P-6CQSect-4.7 P-7CQSect-4.7 P-8CQSect-4.7 P-9CQSect-4.7 P-10CQSect-4.7 P-1PSSect-4.7 P-2PSSect-4.7 P-3PSSect-4.7 P-4PSSect-4.7 P-5PSSect-4.7 P-6PSSect-4.7 P-7PSSect-4.7 P-8PSSect-4.7 P-9PSSect-4.7 P-10PSSect-4.7 P-11PSSect-4.7 P-12PSSect-4.7 P-13PSSect-4.7 P-14PSSect-4.7 P-15PSSect-4.7 P-16PSSect-4.7 P-17PSSect-4.7 P-18PSSect-4.7 P-19PSSect-4.7 P-20PSSect-4.7 P-21PSSect-4.7 P-22PSSect-4.7 P-23PSSect-4.7 P-24PSSect-4.7 P-25PSSect-4.7 P-26PSSect-4.7 P-27PSSect-4.7 P-28PSSect-4.7 P-29PSSect-4.7 P-30PSSect-4.7 P-31PSSect-4.7 P-32PSSect-4.7 P-33PSSect-4.7 P-34PSSect-4.7 P-35PSSect-4.7 P-36PSSect-4.7 P-37PSSect-4.7 P-38PSSect-4.7 P-39PSSect-4.7 P-40PSSect-4.7 P-41PSSect-4.7 P-42PSSect-4.7 P-43PSSect-4.7 P-44PSSect-4.7 P-45PSSect-4.7 P-46PSSect-4.7 P-47PSSect-4.7 P-48PSSect-4.7 P-49PSSect-4.7 P-50PSSect-4.7 P-51PSSect-4.7 P-52PSSect-4.7 P-53PSSect-4.7 P-54PSSect-4.7 P-55PSSect-4.7 P-56PSSect-4.7 P-57PSSect-4.7 P-58PSSect-4.S P-1SSect-4.S P-2SSect-4.S P-3SSect-4.S P-4SSect-4.S P-5SSect-4.S P-6SSect-4.S P-7SSect-4.S P-8SSect-4.S P-9SSect-4.S P-10SSect-4.S P-11SSect-4.S P-12SSect-4.S P-13SSect-4.S P-14SSect-4.CR P-1CRSect-4.CR P-2CRSect-4.CR P-3CRSect-4.CR P-4CRSect-4.CR P-5CRSect-4.CR P-6CRSect-4.CR P-7CRSect-4.CR P-8CRSect-4.CR P-9CRSect-4.CR P-10CRSect-4.CR P-11CRSect-4.CR P-12CRSect-4.CR P-13CRSect-4.CR P-14CRSect-4.CR P-15CRSect-4.CR P-16CRSect-4.CR P-17CRSect-4.CR P-18CRSect-4.CR P-19CRSect-4.CR P-20CRSect-4.CR P-21CRSect-4.CR P-22CRSect-4.CR P-23CRSect-4.CR P-24CRSect-4.CR P-25CRSect-4.CR P-26CRSect-4.CR P-27CRSect-4.CR P-28CRSect-4.CR P-29CRSect-4.CR P-30CRSect-4.CR P-31CRSect-4.CR P-32CRSect-4.CR P-33CRSect-4.CR P-34CRSect-4.CR P-35CRSect-4.CR P-36CRSect-4.CR P-37CRSect-4.CR P-38CRSect-4.CR P-39CRSect-4.CR P-40CRSect-4.CR P-41CRSect-4.CR P-42CRSect-4.CR P-43CRSect-4.CR P-44CRSect-4.CR P-45CRSect-4.CR P-46CRSect-4.CR P-47CRSect-4.CR P-48CRSect-4.CR P-49CRSect-4.CR P-50CRSect-4.CR P-51CRSect-4.CR P-52CRSect-4.CR P-53CRSect-4.CR P-54CRSect-4.CT P-1CTSect-4.CT P-2CTSect-4.CT P-3CTSect-4.CT P-4CTSect-4.CT P-5CTSect-4.CT P-6CTSect-4.CT P-7CTSect-4.CT P-8CTSect-4.CT P-9CTSect-4.CT P-10CTSect-4.CT P-11CTSect-4.CT P-12CTSect-4.CT P-13CTSect-4.CT P-14CTSect-4.CT P-15CTSect-4.CT P-16CTSect-4.CT P-17CTSect-4.CT P-18CTSect-4.CT P-19CTSect-4.CT P-20CTSect-4.CT P-21CTSect-4.CT P-22CTSect-4.CT P-23CTSect-4.CT P-24CTSect-4.CT P-25CTSect-4.CM P-1CMSect-4.CM P-2CMSect-4.CM P-3CMSect-4.CM P-4CMSect-4.CM P-5CMSect-4.CM P-6CMSect-4.CM P-7CMSect-4.CM P-8CMSect-4.CM P-9CMSect-4.CM P-10CMSect-4.CM P-11CMSect-4.CM P-12CMSect-4.CM P-13CMSect-4.CM P-14CMSect-4.CM P-15CMSect-4.CM P-16CMSect-4.CM P-17CMSect-4.CM P-18CMSect-4.CM P-19CMSect-4.CM P-20CMSect-4.CM P-21CMSect-4.CM P-22CMSect-4.CM P-23CMSect-4.CM P-24CMSect-4.CM P-25CMSect-4.CM P-26CMSect-4.CM P-27CMSect-4.CM P-28CMSect-4.CM P-29CMSect-4.CM P-30CMSect-4.CM P-31CMSect-4.CM P-32CMSect-4.CM P-33CMSect-4.CM P-34CMSect-4.CM P-35CMSect-4.CM P-36CMSect-4.CM P-37CMSect-4.CM P-38CMSect-4.CM P-39CMSect-4.CM P-40CMSect-4.CM P-41CMSect-4.CM P-42CMSect-4.CM P-43CMSect-4.CM P-44CMSect-4.CM P-45CMSect-4.CM P-46CMSect-4.CM P-47CMSect-4.CM P-48CMSect-4.CM P-49CMSect-4.CM P-50CMSect-4.CM P-51CMSect-4.CM P-52CMSect-4.CM P-53CMSect-4.CM P-54CMSect-4.CM P-55CMSect-4.CM P-56CM

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Convert the expressions in Exercises 6584 to power form. 3x1.2213x2.1

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 29-34, find an equation of the circle that satisfies the given conditions. 29. Radius 5 and center...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Evaluate the integral. tsintcostdt

Calculus (MindTap Course List)

11. Is the graph of concave up or concave down at x = 2?

Mathematical Applications for the Management, Life, and Social Sciences

Explain why the statement x=50 is not a legitimate hypothesis.

Introduction To Statistics And Data Analysis

= _____. 0 does not exist

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Write in cylindrical coordinates, where E is the solid at the right.

Study Guide for Stewart's Multivariable Calculus, 8th