Question 1038097: A andB together can do a piece of work in 15days . IfA's one day work is 3/2 times one days work of B. Find in how many days can each do the work.?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A and B together can do a piece of work in 15days . If A's one day work is 3/2 times one days work of B. Find in how many days can each do the work.?
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Let B's time to do the job alone be "x",
then A does the job in x/(3/2) = 2x/3 days
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Together rate:: 1/15 job/hr
A's rate:: 1/(2x/3) = 3/(2x) job/hr
B's rate:: 1/x job/hr
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Equation::
rate + rate = together rate
1/x + 3/(2x) = 1/15
30 + 45 = 2x
x = 75/2 = 37.5 days (time for B to do the job alone)
2x/3 = (2/3)(37.5) = 25 days (time for A to do the job alone)
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Cheers,
Stan H.
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