Find the rate of each plane.

Q: If a car travelled 5 Kilometers an hour faster. it would take one hoür less to travel 210…

A: Let the original speed be x.Then, increased speed will be x+5Time taken with increased speed =…

Q: A boat can travel 26 mph in still water. If the boat can travel 100 miles with the current in the…

A: Consider the speed of boat is v=26 mph. The distance that the boat can travel with the current is…

Q: Two cyclists start from the same point and ride in opposite directions. Onecyclist rides twice as…

A:

Q: Two cyclists leave towns 144 km apart at the same time and travel toward each other. One cyclist…

A: Given that two cyclist 114 km apart travel each other at same time one cyclist travel 6 km/h faster…

Q: A motorboat travels  357  kilometers in  7  hours going upstream and  808  kilometers in  8…

A: Let the rate of the boat in still water is = x km/hour and  the rate of the current is = y km/hour…

Q: Two buses leave a station at the same time and travel in opposite directions. One bus travel 20 mi/h…

A: If first bus travels with speed r then second bus travels with speed r+20. Distance each bus travels…

Q: Two buses leave towns 302 miles apart at the same time and travel toward each other. One bus travels…

A: Buses travelling towards each other have an effective (relative) velocity of their added velocities.…

Q: What is the time needed to travel a distance of  10x2 + 3x − 4  miles if the rate is  5x + 4 mph?

A: Please refer the attached image for complete solution.

Q: Two small planes start from the same point and fly in opposite directions.The first plan is flying…

A:

Q: Two hikers are 11 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

A: Distance between 2 hikers:= 11 miles;           Difference of their speeds:= 1.1 mph;

Q: Two trains start at the same time and travel toward each other from cities 330 mi apart. How many…

A:

Q: Two trains start at the same time from the same place and travel in oppositedirections. If the rate…

A: Let x and x+6 (miles per hour) be the speed of the first  train and second train respectively. Then…

Q: Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle…

A:

Q: Two buses leave a station at the same time and travel in opposite directions. One bus travels 8kmh…

A: Since buses travels in opposite direction so if xkm/hr and ykm/hr are the speed to two buses then…

Q: Two trains leave towns 1716 kilometers apart at the same time and travel toward each other. One…

A: The distance between two trains =1716 kilometers Let the rate of the faster train = x kilometer/hour…

Q: Two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They…

A:

Q: Two trains leave towns  471  miles apart at the same time and travel toward each other. One train…

A: Two trains leave towns 471 miles apart at the same time and travel toward each other. One train…

Q: Two cyclists leave towns 235 kilometers apart at the same time and travel toward each other. One…

A: Question- Two cyclists leave towns 235 kilometers apart at the same time and travel toward each…

Q: What is the time needed to travel a distance of 6x^2 - 17x + 12 miles if the rate is 3x - 4?

A:

Q: If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, how many…

A:

Q: Two hikers are 14 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

A:

Q: For a set amount of time, the distance Kirk can run is directly related to his average speed. If…

A:

Q: Two trains leave town 905 miles apart at the same time and travel toward each other. One train…

A: Given: Two trains leave town 905 miles apart at the same time and travel toward each other. One…

Q: vian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels…

A: Given data: Total Distance = 136 mile. Time taken to reach their ( vian and Noelle) respective…

Q: minutes

A: Speed of Jill jog = 2miles/15 minutes

Q: Two trains leave towns 835 miles apart at the same time and travel toward each other. One train…

A:

Q: If you drive 270 miles and use 10 gallons of gas, what is your rate of gas consumption?

A:

Q: slower

A:

Q: When a plane flies with the wind, it can travel 4200 miles in 6 hours. When the plane flies in the…

A: Given, Distance covered when flying with the wind is, d1=4200 miles Time taken is t1=6 hours…

Q: Two boats travel at right angles to each other after leaving a dock at the  same time. One hour…

A: Given: Two boats travel at right angles. one hour later they are 25miles apart. if one boat travels…

Q: Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice as fast as…

A:

Q: A motorboat travels 224 kilometers in 4 hours going upstream and 306 kilometers in 3 hours going…

A: Topic:- algebra

Q: Two automobiles are 276 miles apart and start at the same time to traveltoward each other. They…

A:

Q: A camel can drink 15 gallons of water in 10 minutes. At this​ rate, how much water can the camel…

A: Given:

Q: Sam left his house heading east and his brother left two hours later heading west at a rate 5 mph…

A: Let Sam's speed be x . First we formulate and equation in x by using the given data an then solve…

Q: Two ships leave a dock at the same time, one sails northeast at the rate of 9 miles per hour and the…

A: Let A and B denote the first and second ship

Q: If a car moving at a constant rate travels (2x3-x2 - 4x + 3) km in (x2 - 2x + 1) hours, what is the…

A:

Q: jennie and her brother larry left their home at the same time for their separate vacations jenny…

A: Speed at which Jenny travels is 75 km/hr. Speed at which Larry travels is 60 km/hr.   Let x be the…

Q: What is the time needed to travel a distance of  12x2 + 17x − 5 miles if the rate is 3x + 5 mph?

A: Here I am attaching image so that you understand each and every step.

Q: An airplane travels 3040 kilometers against the wind in 4 hours and 3520 kilometers with the wind in…

A: Let the rate of the plane in still air is = x km/h and the rate of the wind is=y km/h So the speed…

Q: A motorboat takes 5 hours to travel 100 miles going upstream. The return trip takes 2 hours going…

A:

Q: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A:

Q: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

A: D= 156 miles T = 3 hours

Q: Two joggers start from opposite ends of an 8 mile course running towards each other One jogger is…

A: Let after x hours they will meet. We will use the formula: Distance= speed*time  Speed of first…

Q: If a lion can run at 30mph for 48 meters, how long can it maintain its top speed?

A: Given:A lion can run at 30mph for 48 meters.The formula relating the speed, distance and time is…

Q: Two hikers are 15 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

A: Distance between two hikers which are at opposite ends of a journey and moving towards each other=15…

Q: Sarita uses 625 feet of string to make 500 necklaces of the same size. At what rate how many feet of…

A: See the attachment

Q: A boat man rows to a place 50 miles distant and back in 18 hours back, find that he can row 3 miles…

A: The rate of the stream = 1/2 ( a-b ) miles / hour where a is the speed downstream and b is the speed…

Q: The distance that a body falls from rest is directly proportional to the square of the time of the…

A: Given data: Consider the distance traveled by a body is "y=144 ft", and time is "t". As per the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.