Question 298585: two taps can fill a bucket in 2 and 3 minutes respectively. if they are turned on together, how long will theytake to fill the bucket? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! two taps can fill a bucket in 2 and 3 minutes respectively. if they are turned on together, how long will theytake to fill the bucket?
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Faster Tap DATA:
time = 2 minutes/job ; rate = 1/2 job/minutes
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Slower Tap DATA:
time = 3 minutes/job ; rate = 1/3 job/minutes
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Together DATA:
time = x minutes/job ; rate = 1/x job/minutes
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Equation:
rate + rate = together rate
1/2 + 1/3 = 1/x
3x + 2x = 6
5x = 6
x = 6/5 = 1.2 minutes
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Cheers,
Stan H.
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