Two trains going in opposite directions leave at the same time. Train B travels 5 mph faster than train A. In 6 hours the trains are 750 miles apart. Find the speed of each.

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: The sum of the ages of Sarpong and Quartey is 50 years. In five years time, the age of Quartey will…

A: Explanation and solutions is given below....

Q: If Jill jogs 2 miles in 15 minutes, how long will it take her (to the nearest minute) to jog 9 miles…

A: Given, Jill jogs 2 miles in 15 minutes  We have to find in how minutes she will take to jog 9 miles…

Q: The sum of the ages of Nicole and Kristin is 32. In two years Nicole will be three times as old as…

A: Let, Nicole is x years old and Kristin is y years old then x+y=32  Given that in two years Nicole…

Q: A fast train takes 3 hours less than a slow train for a journey of 600 km. If the speed of the slow…

A: Given that A fast train takes 3 hours less than a slow train for a journey of 600kms The speed of a…

Q: If Sandy can paint a fence in 2 hours and Erik can paint the fence in 3 hours, if they work…

A:

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: A man walks at the rate of 4 miles per hour. How far can he walk into thecountry and ride back on a…

A:

Q: A painter by himself can paint four rooms in 10 hours. If he hires a helper, they can do the same…

A:

Q: After riding at a steady speed for 40 miles, a bicyclist had a flat tire and walked 5 miles to a…

A: Given- After riding at a steady speed for 40 miles and walked 5 miles to a repair shop. The cycling…

Q: the distance a jet travels varies directly with the number of hours flown. A jet travels 1,350 miles…

A: From the given data

Q: The sum of two numbers is the same as their product, and the difference of their reciprocals is 3.…

A: Given informationSum of two number = product of that numberReciprocal difference of the two number =…

Q: as a result of adverse winds the average speed of a hydrofoil on the return leg of a 180 mile round…

A: Let x be the average speed of the hydrofoil on going out x-15 is the average speed of the hydrofoil…

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 automobiles going in opposite directions leave at the same time . One automobile travels 20 mph…

A:

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: If a person rows to his favorite fishing spot 9 miles downstream in the same amount of time that he…

A:

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

A:

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

A:

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

A:

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

A:

Q: A car went 372 miles in 6 hours, traveling part of the time at 55 miles per hour and the rest of the…

A: Given:  In the first travelling part of the   time at 55…

Q: Betty paints twice as fast as Dan. Working together, Dan and Betty can paint 2,400 square feet in 4…

A:

Q: minutes

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

Q: A car travels 50 mph and passes a truck traveling 40 mph. How long will it take the car to be more…

A: Speed of car 50 mph  Speed of truck 40 mph To find time in which car will be 16 mile ahead of truck

Q: How long will it take an Amtrak passenger train to catch up to a freight train if their speeds are…

A: Solution:let x = 60 mph the speed of the Amtrak train  y = 45 mph the speed of the Freight traint =…

Q: A plane can fly 300 miles in the same time as it takes a car to go 100 miles. If the car travels 100…

A:

Q: The fast freight made the trip in 8 hours and the slow freight made the trip in 10 hours. How many…

A:

Q: A pool can be filled by one pipe in 6 hours and by a second pipe in 12 hours. How long will it take…

A:

Q: If seven is added to 5 times a number the result is equal to three times the number. Find the…

A: Let the number required be x .

Q: A train travelling at 48 kmph completely crosses another train having half its length and travelling…

A:

Q: A man can seed a large field in 8 hours. His daughter can do the job in 6 hours. If she starts an…

A:

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: If the third of the three consecutive integers are increased by 14, it is equal to twice the first,…

A:

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: If Jan can weed the garden in 2 hours and her husband can weed it in 1 hour and 30. Find how long it…

A:

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 runners, one averaging 8 miles per hour and the other 6 miles per hour, start at the same place…

A: Consider the given information. Make the table for the given information.   distance  rate…

Q: A pipe can fill a tank in 120 minutes while the drain valve can drain it in 150 minutes. If the…

A: Assume it takes t minutes to fill the tub. pipe can fill in 120 minutes drain valve can empty in 150…

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 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: Suppose two trains leave Corpus Christi, Texas, at the same time, traveling in opposite directions.…

A: Please refer to the image below

Q: Sam and Cat both drive cars starting from the same point. Sam drives north, and travels 50  miles in…

A:

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 car leaves a town at 110 kilometers per hour. How long will it take a second car, travelling at…

A: Given, A car leaves a town at 110 kilometers per hour and a second car travelling at 125 kilometers…

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.