SOLUTION: Gregory can mow the family's lawn in 3 hours, and Jennifer can mow it in 4 hours. If they team up to mow the lawn together, how long will it take to finish mowing the lawn? Hint: I

Question 891983: Gregory can mow the family's lawn in 3 hours, and Jennifer can mow it in 4 hours. If they team up to mow the lawn together, how long will it take to finish mowing the lawn? Hint: If they mow for x hours, Gregory will mow a fraction of the lawn that can be expressed as x/3.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Gregory can mow the family's lawn in 3 hours, and Jennifer can mow it in 4 hours.
If they team up to mow the lawn together, how long will it take to finish mowing the lawn?
:
let x = time required when mowing together (two lawn mowers, obviously)
;
Let the completed job = 1 (a mowed lawn)
:
Each will do a fraction of the lawn, the two fractions add up to
:
+ = 1
Multiply the equation thru by 12, cancel the denominators and you have:
4x + 3x = 12
7x = 12
x = 12/7
x = 1.71 hrs or 1 + .71(60) = 1 hr 43 min
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