Applications of Rational Equations (Motion & Work Problems)

1) Solve:

2) Solve:

3) Solve.

4) Solve:

6) Find two consecutive integers such that the sum of one-third of the first and one-fourth of the second is 9.

(Separate your answers with a comma, no space in between)

7) If the numerator of

1) An airplane travels 1 260 km in the same time a car travels 420 km. If the rate of the car is 20 kph less than the rate of the airplane, find the rate of each.​

(separate your answers with a comma, don't put space in between and don't forget to put the unit per answer. Example: 2kph,3kph)

2) Julius can paint a house three times faster than Ruben. Working together, they can paint a house in 4 days. How long would it take the faster painter if he works alone?

Sample answer: 2 1/2 days (put space in between the whole number and fraction -- use mixed fraction)

3) To do a job alone, it will take Shawn 3 days, Mona 4 days, and Harriet 7 days. How long will it take if they work together to complete the job?

(use improper fraction)

4) Suppose a swimming pool has two intake pipes. One pipe fills the pool in 10 hours and the other in 15 hours. If both pipes are open, how long will it take to fill the pool?

5) The speed of the current is 3 kph. A boat travels 4 km upstream in the same time it takes to travel 10 km downstream. What is the speed of the boat in still water?