Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 11.6, Problem 49STP

(a)

To determine

Write expressions for the time spent at that speed and for the time spent on the other highway.

(a)

Expert Solution
Check Mark

Answer to Problem 49STP

  150x;130x10

Explanation of Solution

Given:

A trip between two towns takes 4 hours under ideal conditions. The first 150 miles of the trip is on an interstate, and the last 130 miles is on a highway with a speed limit that is 10 miles per hour less than on the interstate.

If a represents the speed limit on the interstate, write expressions for the time spent at that speed and for the time spent on the other highway.

Concept Used:

  Timetaken=DistanceSpeed

Distance traveled on the interstate is 150 miles.

Calculation:

  Timetaken=DistanceSpeed

Distance traveled on the interstate is 150 miles.

So, the time spent on the interstate is 150x

Distance traveled on highways is 130 miles. Speed on high way is x10

So, the time spent on the highways is 130x10

Thus, the time spent on the highways is 130x10

(b)

To determine

Write and solve an equation to find the speed limits on the two highways.

(b)

Expert Solution
Check Mark

Answer to Problem 49STP

  150x+130x10=4; 75 mph; 65 mph

Explanation of Solution

Given:

A trip between two towns takes 4 hours under ideal conditions. The first 150 miles of the trip is on an interstate, and the last 130 miles is on a highway with a speed limit that is 10 miles per hour less than on the interstate.

Write and solve an equation to find the speed limits on the two highways.

Concept Used:

Total time taken for the trip is 4 hours.

The required equation: 150x+130x10=4

Calculation:

The required equation: 150x+130x10=4

Solve for x:

  150(x10)+130x=4x(x10)150x1500+130x=4x240x4x240x150x130x+1500=04x2320x+1500=0x280x+375=0(x5)(x75)=0x5=0x=5x75=0x=75

So, the speed on the interstate is 75 mph.

Thus, the speed on the highway is 75 − 10 = 65 mph

Chapter 11 Solutions

Algebra 2

Ch. 11.1 - Prob. 1CYUCh. 11.1 - Prob. 2CYUCh. 11.1 - Prob. 3CYUCh. 11.1 - Prob. 4CYUCh. 11.1 - Prob. 5CYUCh. 11.1 - Prob. 6CYUCh. 11.1 - Prob. 7CYUCh. 11.1 - Prob. 8CYUCh. 11.1 - Prob. 9CYUCh. 11.1 - Prob. 10CYUCh. 11.1 - Prob. 11CYUCh. 11.1 - Prob. 12CYUCh. 11.1 - Prob. 13CYUCh. 11.1 - Prob. 14CYUCh. 11.1 - Prob. 15CYUCh. 11.1 - Prob. 16CYUCh. 11.1 - Prob. 17CYUCh. 11.1 - Prob. 18CYUCh. 11.1 - Prob. 19CYUCh. 11.1 - Prob. 20CYUCh. 11.1 - Prob. 21PPSCh. 11.1 - Prob. 22PPSCh. 11.1 - Prob. 23PPSCh. 11.1 - Prob. 24PPSCh. 11.1 - Prob. 25PPSCh. 11.1 - Prob. 26PPSCh. 11.1 - Prob. 27PPSCh. 11.1 - Prob. 28PPSCh. 11.1 - Prob. 29PPSCh. 11.1 - Prob. 30PPSCh. 11.1 - Prob. 31PPSCh. 11.1 - Prob. 32PPSCh. 11.1 - Prob. 33PPSCh. 11.1 - Prob. 34PPSCh. 11.1 - Prob. 35PPSCh. 11.1 - Prob. 36PPSCh. 11.1 - Prob. 37PPSCh. 11.1 - Prob. 38PPSCh. 11.1 - Prob. 39PPSCh. 11.1 - Prob. 40PPSCh. 11.1 - Prob. 41PPSCh. 11.1 - Prob. 42PPSCh. 11.1 - Prob. 43PPSCh. 11.1 - Prob. 44PPSCh. 11.1 - Prob. 45PPSCh. 11.1 - Prob. 46PPSCh. 11.1 - 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Prob. 57SGRCh. 11 - Prob. 58SGRCh. 11 - Prob. 59SGRCh. 11 - Prob. 60SGRCh. 11 - Prob. 61SGRCh. 11 - Prob. 62SGRCh. 11 - Prob. 63SGRCh. 11 - Prob. 64SGRCh. 11 - Prob. 65SGRCh. 11 - Prob. 66SGRCh. 11 - Prob. 67SGRCh. 11 - Prob. 68SGRCh. 11 - Prob. 69SGRCh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PTCh. 11 - Prob. 17PTCh. 11 - Prob. 18PTCh. 11 - Prob. 19PTCh. 11 - Prob. 20PTCh. 11 - Prob. 21PTCh. 11 - Prob. 22PTCh. 11 - Prob. 23PTCh. 11 - Prob. 24PTCh. 11 - Prob. 1ECh. 11 - Prob. 2ECh. 11 - Prob. 1STPCh. 11 - Prob. 2STPCh. 11 - Prob. 3STPCh. 11 - Prob. 4STPCh. 11 - Prob. 5STPCh. 11 - Prob. 6STPCh. 11 - Prob. 7STPCh. 11 - Prob. 8STPCh. 11 - Prob. 9STPCh. 11 - Prob. 10STPCh. 11 - Prob. 11STPCh. 11 - Prob. 12STPCh. 11 - Prob. 13STPCh. 11 - Prob. 14STPCh. 11 - Prob. 15STPCh. 11 - Prob. 16STPCh. 11 - Prob. 17STPCh. 11 - Prob. 18STP
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