SOLUTION: a pipe can drain a reservoir in 6 hours 30 minutes (6 1/2 hours). a larger pipe can drain the same reservoir 4 hours 20 minutes (4 1/3 hours). how long will it take to drain the re

Question 915204: a pipe can drain a reservoir in 6 hours 30 minutes (6 1/2 hours). a larger pipe can drain the same reservoir 4 hours 20 minutes (4 1/3 hours). how long will it take to drain the reservoir if both pipes are used?

Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Uniform Rates for two agents operating at the same time.

One agent has JOBS per TIME unit
Other agent has JOBS per TIME unit
The numerator means "ONE WHOLE JOB", and the denominator is amount of time for that one job.

The rate for the two agents operating on the same job at the same time is the sum of their individual rates; so for these two very generalized agents, when working simultaneously on the same job, their rate is ......
.

The reciprocal of that will be the time for the combination of those agents to do 1 job:

, units of time.
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