The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet

[BTGmoderatorLU]

Source: Veritas Prep

The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?

A. 24 hours
B. 26 2/3 hours
C. 30 hours
D. 33 1/3 hours
E. 160 hours

The OA is B

[deloitte247]

Hose rate = 60 cubic feet of water per minute
width of the pool = 80 feet
Length of pool = 150 feet
depth of pool = 10 feet
volume of the pool = 80*150*10 = 120,000 cubic feet
present pool capacity = 80% of 120,000 = 96000 cubic
if hose can drain 60 cubic feet in 1 minute, It will drain 96,000 cubic feet in
$$\frac{96,000\cdot1}{60}=1600\minutes$$
60 minutes = 1 hour
$$1600\ \min utes\ =\frac{1600\cdot1}{60}$$
$$26\frac{2}{3}$$ $$Answer\ is\ Option\ B$$