SOLUTION: Bill can mow a lawn in 2 hours, working with Tom they can mow the same lawn in 1.5 hours. How long would it take Tom working alone?

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Question 973233: Bill can mow a lawn in 2 hours, working with Tom they can mow the same lawn in 1.5 hours. How long would it take Tom working alone?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
In one hour, Bill mows (1/2) of the lawn, and with Tom can mow (1/1.5) of the lawn.
Together, they can mow, in one hour (1/2) + (1/x)=(1/1.5)
Multiply everything by 6x to clear fractions.
3x+6=4x
x=6 hours. It takes Tom 6 hours to mow the lawn. In one hour the two mow (1/2)+(1/6)=2/3. In the next half hour, they mow (1/4)+ (1/12)=(1/3), that finishes it up.