SOLUTION: Al mows lawns at a rate of 30 square feet per minute, Bo mows 40 square feet per minute, and Cy mows 60 square feet per minute. They accept a job that requires that they mow 6060

Question 198509: Al mows lawns at a rate of 30 square feet per minute, Bo mows 40 square feet per minute, and Cy mows 60 square feet per minute. They accept a job that requires that they mow 6060 square feet of lawn. Al begins mowing at 7:00 A.M., but Bo does not begin for another 15 minutes. Cy begins mowing at 7:45, and they finish together. How long did Bo work?
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Al mows lawns at a rate of 30 square feet per minute,
Bo mows 40 square feet per minute, and Cy mows 60 square feet per minute.
They accept a job that requires that they mow 6060 square feet of lawn.
Al begins mowing at 7:00 A.M., but Bo does not begin for another 15 minutes.
Cy begins mowing at 7:45, and they finish together.
How long did Bo work?
:
:
Let t = Al's mowing time (minutes)
then
(t-15) = Bo's mowing time
and
(t-45) = Cy's mowing time
:
30t + 40(t-15) + 60(t-45) = 6060
:
30t + 40t - 600 + 60t - 2700 = 6060
:
130t - 3300 = 6060
:
130t = 6060 + 3300
:
130t = 9360
t =
t = 72 minutes is Al's mowing time
then
72 - 15 = 57 minutes is Bo's mowing time
:
:
Check solution
30(72) + 40(57) + 60(27) =
2160 + 2280 + 1620 = 6060
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Al's time mowing in minutes
given:

min
Bo worked less than Al, so

Bo worked 57 minutes
check answer:

OK
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