# math

One pipe can fill a pool in 10 hours. Another pipe can fill the pool in 30 hours. How long would it take them to fill the pool if they were working together?

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1. rate 1 = R1 = 1 pool/10 hr
R2 = 1 pool/30 hr

together
(1 pool/10 hr) T + (1 pool/30 hr)T = 1 pool

T/10 + T/30 = 1
3 T/30 + 1 T/30 = 1
4 T = 30
T = 7.5 hours

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