Ted can mow the lawn in 5 minutes by using his power mower. Galen takes 15 minutes to mow the same lawn using a push-type mower. How many minutes would the job take if the two boys worked together?

If t is the time working together, which of the following expressions represents the portion of the job that Ted will complete when the guys work together?

Question

Yaretzi

Mathematics

11 June, 22:48

Ted can mow the lawn in 5 minutes by using his power mower. Galen takes 15 minutes to mow the same lawn using a push-type mower. How many minutes would the job take if the two boys worked together?

If t is the time working together, which of the following expressions represents the portion of the job that Ted will complete when the guys work together?

+3

Answers (1)

Know the Answer?

Gavin Meza · Answer 1

For the answer to the question above,

Minutes needed to complete full job:

Ted = 5 minutes

Galen = 15 minutes

Together = x

Amount of job completed per minute:

Ted = 1/5 of lawn

Galen = 1/15 of lawn

Together = 1/x of lawn

Equation:

1/5 + 1/15 = 1/x

3/15 + 1/15 = 1/x

4/15 = 1/x

(4/15) x = 1

x = 15/4

So the answer is 3 3/4 minutes (15/4)