SOLUTION: A gardener can mow a lawn, working alone,in 42 minutes, whereas it takes an assistant 57 minutes to mow the same amount of lawn by himself. The gardener and the assistant worked to

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Question 868908: A gardener can mow a lawn, working alone,in 42 minutes, whereas it takes an assistant 57 minutes to mow the same amount of lawn by himself. The gardener and the assistant worked together mowing for 14 minutes and then the gardener stopped. How long will it take the assistant to finish mowing the lawn?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
This solution is abbreviated.
G, 1%2F42 jobs per minute
A, 1%2F57 jobs per minute
A and G together, 1%2F42%2B1%2F57=20%2F%283%2A7%2A19%29 jobs per minute; LCD used was 2%2A3%2A7%2A19.

Let t = minutes for assistant to finish after both worked 14 minutes together.
highlight_green%28%2820%2F%283%2A7%2A19%29%29%2A14%2B%281%2F57%29%2At=1%29.
Solve for t.

Multiply both sides by 3*7*19.
20%2A14%2B7t=3%2A7%2A19
7t=3%2A7%2A19-20%2A14
7t=119
highlight%28t=17%29