Bunuel
A hole drained 5/8 of a pool in two hours. How long will it take the hole
to finish emptying the pool if it continues at the same rate?
A. 1 hour and 10 minutes
B. 1 hour and 12 minutes
C. 1 hour and 20 minutes
D. 3 hours and 12 minutes
E. 3 hours and 20 minutes
Hello, everyone. I am a little surprised to see this question hovering around 50 percent, despite the small sample size. The following are two other ways you could solve this problem in no time.
Method #1: Set up a proportion (parts drained/hours) and cross-multiply.
\(\frac{5}{2} = \frac{3}{x}\)
\(5x = 6\)
\(x = \frac{6}{5}\)
A fifth of an hour is 12 minutes (60/5), so the time necessary to drain 3/8 of the pool is 1 hour, 12 minutes.
(B) is the answer.
Method #2: Work with the rate given and solve.
- Another way to interpret the rate given is to think of the hole as draining 10/16 of the pool in 120 minutes.
- Since 1/10 of any number is that number with the decimal pushed one place to the left, we can deduce that draining 1/16 of the pool would take 12 minutes.
- Now that we know the rate for each 16th, we can calculate that draining the remaining 6/16 of the pool would take 6 times 12 minutes.
\(6 * 12 = 72\)
72 minutes is 1 hour, 12 minutes. Again,
the answer must be (B).
Keep in mind, these solutions are
in addition to those already provided in the thread. Get creative with these problems. You never know what you might come up with in a pinch on test day.
Good luck with your studies.
- Andrew