SOLUTION: Working together, Dan and Oliver can mow a lawn in 12 minutes. Oliver can mow the lawn by himself in 10 minutes less time than it takes Dan by himself. How long does it take each o

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working together, Dan and Oliver can mow a lawn in 12 minutes. Oliver can mow the lawn by himself in 10 minutes less time than it takes Dan by himself. How long does it take each o      Log On


   

Question 1122621: Working together, Dan and Oliver can mow a lawn in 12 minutes. Oliver can mow the lawn by himself in 10 minutes less time than it takes Dan by himself. How long does it take each of them to mow the lawn?
Please show the solution such as, what is given, ask, required, and the full solution. good day!
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
LAWN per MINUTES, the work rate unit

d, time for Dan
v, time for oliVer

1%2Fd%2B1%2Fv=1%2F12

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Oliver can mow the lawn by himself in 10 minutes less time than it takes Dan by himself.
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v=d-10
The time for Oliver to do 1 lawn is d-10, minutes.


highlight_green%281%2Fd%2B1%2F%28d-10%29=1%2F12%29
First solve this for d; and then use the previous equation to evaluate v.