Question

If Kyle does a job in 15 hours less time than Jane, and they can do the job together in 4 hours, how long will it take each to do the job alone?

a) It will take Kyle 6 hours, Jane 9 hours

b) It will take Kyle 9 hours, Jane 6 hours

c) It will take Kyle 8 hours, Jane 11 hours

d) It will take Kyle 11 hours, Jane 8 hours

Answer 1

Jane will take 9 hours and Kyle will take 6 hours to complete the job alone.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's assume that Jane takes x hours to complete the job alone. Since Kyle takes 15 hours less time, he would take (x - 15) hours to complete the job alone.

When they work together, they can complete the job in 4 hours. This means that their combined work rate is 1/4 of the job per hour.

Using the work rate formula, we can set up the equation: 1/x + 1/(x - 15) = 1/4.

Solving for x, we find that x = 9. Therefore, it will take Jane 9 hours and Kyle 9 - 15 = 6 hours to complete the job alone.