Bunuel wrote:
Two hoses (X and Y) are filling a pool. Working alone at their individual constant rates, Hose X could fill the pool in 6 hours and Hose Y could do it in 4 hours. If the two hoses work together to fill half the pool, and then Hose Y finishes alone, how long will it take to fill the pool?
A. 2 hours, 48 minutes
B. 3 hours
C. 3 hours, 12 minutes
D. 3 hours, 24 minutes
E. 3 hours, 48 minutes
Find the combined rate
1/6 + 1/4 = 5/12
The time it takes to fill it entirely is 12/5
Half of the pool required time is 6/5
for y alone it takes 4 hours to fill one pool.
So it takes 2 hours to fill half.
6/5 = 1 hour and 12 minutes
Total 3 hours 12 minutes
Answer choice C
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