Two trains leave Los Angeles simultaneously traveling on the same track in opposite directions at speeds of 50 and 64 mph. How long will it take before they are 285 miles apart?

Q: A plane can fly 1190 miles in the same time as it takes a car to go 280 miles. If the car travels…

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Q: If the speed limit is 65 miles per hour and a​ person's trip takes 2 hours at that​ speed, how much…

A: Speed of a person=65 miles per hour Time taken by a person to complete trip=2 hours We know that,…

Q: Kimberlé and Francesca both leave the internet cafe at the same time, but in opposite directions. If…

A: We have to calculate Kimberle's speed and Francesca's speed

Q: a 25-inch piece of steel is cut into three pieces so that the second piece is twice as long as the…

A: We have to  find the length of each pieces.

Q: The distance from the Sun to Earth is approximately 93,000,000 miles. If light travels at a rate of…

A: The distance from the Sun to Earth is approximately 93,000,000 miles. If light travels at a rate of…

Q: A 150-pound person uses 5.7 calories per minute when walking at a speed of 4 mph. How long must a…

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Q: Two cyclists, 108 miles apart, start riding toward each other at the same time. One cycles 2 times…

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Q: An airplane flies 450 miles with the wind and 330 against the wind in the same length of time. If…

A: It is given that,an airplane flies 450 miles with the wind and 330 against the wind in the same…

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 leave two different cities 1,029 miles apart and head directlytoward each other on…

A: Let it will take x hours for them to pass.  The first train has speed= 45 miles per hour.  So in x…

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…

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Q: Two trains leave stations 364 miles apart at the same time and travel toward each other. One train…

A: When the two trains meet each other,at that point the total distance covered by them will be the…

Q: A plane can fly 1520 miles in the same time as it takes a car to go 480 miles. If the car travels…

A: Relationship Between Speed, Time & Distance   Speed is directly Proportional to Distance and…

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

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Q: a boat travels 150 mile upstream in 10 hours, and the return trip downstream takes 6 hours.  find…

A: Let x be the speed of the boat in still water and let y be the speed of the current.Then,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: Rudy and Nelly both leave the park at the same time, but in opposite directions. If Nelly travels 5…

A: Rudy and Nelly both leave the park at the same time, but in opposite directions.If Nelly travels…

Q: A boat can travel 8 miles downstream in the same amount of time it can travel 5 miles upstream. If…

A: If the speed of a boat in still water is u mph and the speed of the stream is v mph , Then  Speed of…

Q: Two bikers start riding from the same spot at the same time. The first goes east at a speed of 8…

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Q: Two trains are 324 miles apart, and their speeds differ by 16 mph. Find the speed of each train if…

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Q: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How…

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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: 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: A train travels 96 miles in 3 hours.  At this rate, how long will it take to make a 480 mile trip?…

A: Given : A train travels 96 miles in 3 hours.

Q: A plane can fly 850 miles in the same time as it takes a car to go 300 miles. If the car travels 110…

A: Explanation of the answer is as follows

Q: A motorboat traveled 36 miles downstream, with the current, in 1.5 hours. The return trip upstream,…

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Q: A speedboat can travel at rate of 30 miles per hour. At this rate, what is the distance that the…

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Q: A tub can be filled in 10 minutes and drained in 8 minutes. How long will it take to empty a full…

A: Let's find.

Q: A 25-foot pipe has been cut into two parts, one 4 times as long as the other. How long is each part?

A: Let x be the length of one part.Then the length of the other part is 4x, because one part is 4 times…

Q: Keegan and Todd are 165 miles apart, traveling towards each other. If Todd travels 21 mph and Keegan…

A: The given question can be repersented as follow:

Q: A plane can fly 1360 miles in the same time as it takes a car to go 400 miles. If the car travels…

A: The objective is to find the speed of the plane .

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

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Q: A canoeing club travels 78 miles in 3 days. How far could they travel in 5 days if they maintain the…

A: Distance travelled by canoeing club, d = 78 miles in time, t = 3 days

Q: A​ 150-pound person uses 5.7 calories per minute when walking at a speed of 4 mph. How long must a…

A: From the given statement, the person uses 5.7 calories per minute at the speed of 4 mph.

Q: If Jill jogs 2 miles in 15 minutes, how long will it take her (to the nearest minute) to jog 7 miles…

A: Given if Jill jogs 2 miles in 15 minutes. To find: Time required to jog 7 miles at same rate.…

Q: A girl jogs 5 miles in 24 minutes less than she can jog 7 miles. Assuming she jogs at a constant…

A: Let us consider that the girl jog 7 miles in t minutes. Therefore, Speed=distancetimev=7t…

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: Two buses leave Phoenix at the same time traveling in opposite directions. One bus travels at 57⁢mph…

A: Given,           Two buses leave Phoenix at the same time traveling in opposite directions. One bus…

Q: The number of insects attracted to bright light is currently 8. If the number is expected to…

A: Lets say initial quantity is A0 =8

Q: A lightbulb consumes 3600 watt-hours per day. How long does it take to consume 20700 watt-hours?

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Q: If a train travels 372 miles In 4 hours with a constant speed, how far did the train travel in one…

A: The Formula for velocity is  Velocity(speed):- (Distance)/(Time) Here Train travels 372 miles which…

Q: Two skiers begin skiing along a trail at the same time. The faster skier averages 15 miles per hour…

A: We know that S = DT, where S is speed, D is distance and T is time taken Hence T = DS

Q: A plane can fly 560 miles in the same time as it takes a car to go 120 miles. If the car travels 110…

A: Consider the speed of the plane is given by x mph. Consider the speed of car is given as y mph. The…

Q: An airplane flies with a constant speed of 3а. 840 km/h. How long will it take to travel a distance…

A: In this question, concept of speed is used. Speed The rate at which an object travels a certain…

Q: An airplane averages 130 mph. If a trip from Atlanta to Charleston takes 2 hours going against the…

A: let's assume speed of airplane is u, speed of wind is v and total distance covered is 2d miles we…

Q: Two cars start from the same point, at 11:05 AM, traveling in opposite directions at 45 and 24 mph,…

A: Two cars leaving from same destination traveling in opposite direction. Hence, their relative speed…

Q: With water from one hose, a swimming pool can be filled in 8 hours. A second, larger hose used alone…

A: With water from one hose, a swimming pool can be filled in 8 hours.   A second, larger hose used…

Q: A trucker drove 144 miles to make a delivery and returned home on the same route. Because of foggy…

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

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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.