Two small planes start from the same point and fly in opposite directions.The first plan is flying 25 mph slower than the second plane. In two hours the planes are 430 miles apart. Find the rate of each plane.

Q: Kayla and Whitney both leave the bookstore at the same time, but in opposite directions. If Kayla…

A: Given problem:- Kayla and Whitney both leave the bookstore at the same time, but in opposite…

Q: When a plane flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

A: When a plane flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

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: 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 Tropical Cyclones, travelling towards each other, left from two places that are 900 miles apart,…

A: Let the first Tropical cyclone be named cyclone A and the second one cyclone B.  Now, these two…

Q: Suppose a trip from the dormitory to the late at 30 mph takes 12 minutes longer than the return trip…

A: Please refer the attached image for complete solution. THANK YOU.

Q: The time it takes to fill a water tank varies inversely with the water rate of the hose. At 8…

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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: A man having ten hours at his disposal made an excursion, riding out at therate of 10 miles an hour…

A: Time taken is the ratio of distance covered and the average speed. t=d/v

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 are 500 miles apart, and their speeds differ by 10 mph. They travel toward each other and…

A: Let the speed of one train be x and the speed of the second train be x + 10.

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: Devontre rode his bike uphill 5 miles and then back downhill. The rate at which Devontre traveled…

A: Let his uphill rate is = x mph So his downhill rate is = x+20  Distance= 5 miles in each case.

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 men are traveling in opposite directions at the rate of 20 and 30 miles an hour at the same time…

A: Let after x hours they will be 300 miles apart. We are going to use the formula: Distance = Speed *…

Q: Two trains leave the same city at the same time, one going east and theother going west. If one…

A: It is given that, two trains leave the same city at the same time. And one of them is going east and…

Q: Find the rate of each plane.

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?

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Q: A salesman drives from Ajax to Barrington, a distance of 166 mi, at a steady speed. He then…

A: Let us suppose that the salesman was driving between Ajax and Barrington with speed s mi/hr.Then his…

Q: Two cars started at a common point and travel in opposite direction. Car A travels at a speed of 55…

A: We will just use basic arithmetic to solve this question. We assume that car A moves in one…

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: If they meet in 3 hours, what is the rate of each train

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Q: An automobile 20 feet long overtakes a truck 40 feet long that is traveling at 50. At what constant…

A: Let the speed of the automobile be v feet/second. Since both vehicle going in the same direction.…

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

A:

Q: two joggers set out the same time from their homes 24 miles apart. they agreed to meet at a point…

A: Given:- Two joggers set out the same time from their homes 24 miles apart.  they meet at a point in…

Q: A motorboat travels 216km in 4 hours going upstream and 520km in 5 hours going downstream. What is…

A: let the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:Speed…

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

A: Let x=rate of one hikerthen 1.8x is the rate of another hiker14=2*(x+1.8x)=5.6x

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 automobiles leave a city at a same time and travel along straight highways that in differ in…

A: Topic:- trigonometry

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

A:

Q: For a car moving at a constant speed the distance traveled varies directly. with the time spent…

A:

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

A:

Q: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at…

A:

Q: Two hikers, Sonia and Tony, leave the same point at the same time. Sonia walks due east at the rate…

A:

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: 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: Two planes leave the same airport and travel in opposite directions. Their speeds are 150 miles per…

A: Given that two planes leave the same airport and travel in opposite direction. Their speeds are 150…

Q: If Jill josh 2 miles in 15 minutes how long will it take her to the nearest minute to jog 5 miles at…

A: Given that Jill jog 2 miles in 15 minutes. To find Time taken by the Jill to jog 5 miles at tye same…

Q: When a plance flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

A:

Q: Two cars travel toward each other from cities that are 427 miles apart at rates of 64 mph and 58…

A:

Q: When a small plane flies with the wind, it can travel 800 miles in 5 hours. When the plane flies in…

A: Assume x be the speed of the plane when travelling in still air and y be the speed of wind. When the…

Q: Two trains leave the station at the same time, one heading west and the other east. The westbound…

A:

Q: Jaime and Jason are 168 miles apart, traveling towards each other. If Jason travels 15 mph and Jaime…

A:

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.