SOLUTION: Chan can mow a lawn in 4 hours. When Tao helps him, they can mow the lawn in 2 and 1/2 hours. How long would it take Tao to mow the lawn?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Chan can mow a lawn in 4 hours. When Tao helps him, they can mow the lawn in 2 and 1/2 hours. How long would it take Tao to mow the lawn?      Log On


   

Question 934521: Chan can mow a lawn in 4 hours. When Tao helps him, they can mow the lawn in 2 and 1/2 hours. How long would it take Tao to mow the lawn?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = tao time to mow alone
y = chan time to mow alone = 4 hours
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r = w/t
rates are additive:
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1/x + 1/y = 1/2.5
1/x + 1/4 = 1/2.5
1/x = 1/2.5 - 1/4
x = 1/( 1/2.5 - 1/4 )
x = 6.6666666666
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answer:
x = tao time to mow alone = 6 2/3 hours
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