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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?

There are 8 parts and 5 parts took 2 hrs.
So, rate = 5/2 = 2.5 part/hr.

Remaining 3 parts require, time = 3/2.5 = 1 hr 12 min

It is B. :)
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Water drained in 2 hours = 5/8(tank)
Water drained in 1 hour = 5/16(tank)
Time taken by tank to completely drain the water = 16/5 = 3 hour 12 mins.

IMO D
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I think correct answer is B because it says:
"How long will it take the hole to finish emptying..."
You don't have to add the previous 2 hours.
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Given
    • A hole drained 5/8 of a pool in two hours.

To find
    • The time it will take for the hole to empty the pool at the same rate.

Approach and Working out:
    • Drained 5/8 of the pool in – 2 hours.
    • Time to drain 1/8 of the pool – 2/5 hours
    • Time to drain pool completely – 8 × 2/5 = 16/5 = 3.2 H = 3H 12 mins

Hence, option D is the correct answer.
Correct Answer: Option D
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IMO B.

"How long will it take the hole to finish emptying the pool"

192 minutes (total time taken to empty the pool) - 120 minutes (as 5/8th is already drained = 1 hour 12 minutes.
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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
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5/8 in 2 hrs
So why not calculate with 5/16 in 1 hr?
So the remaining portion is the pool to fill is 1-5/16= 11/16 right???

So, no of hrs taken to empty 11/16th of the pool
11/16 * 16/5 =11/5
Why is this wrong?
Someone please help

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