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Problem Solving (PS) | RATE WORK

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Bounce1987 wrote:

It takes 50 seconds, 60 seconds, and 100 seconds, 3 pumps A, B, and C to pour 100 gallons water into a certain lake at their constant rates, respectively. How many seconds it takes 3 pumps to pour 1,000 gallons water into the lake together at their constant rates, approximately, in seconds?
A. 188 B. 194 C. 214 D. 232 E. 241

These numbers are huge. Reduce before adding.

Pump A rate =\(\frac{100gal}{50secs}\) =\(\frac{2 gal}{1sec}\)

Pump B rate =\(\frac{100gal}{60secs}\) =\( \frac{\frac{5}{3} gal}{1sec} \)
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