bySayantani Barman Experta en el extranjero
Question: An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?
(A) 5 hr 30 min
(B) 5 hr 20 min
(C) 4 hr 48 min
(D) 3 hr 12 min
(E) 2 hr 40 min
"An Empty Pool being Filled with Water at a Constant Rate takes 8 hours" is a question of GMAT Quantitative reasoning section. This question has been taken from the book "GMAT Prep Course" published in the year 2004. GMAT Quant section consists of a total of 31 questions. This is a GMAT Problem Solving question that allows the candidates to prove if the statement is sufficient as per the options. The total time allotted for this part is 62 minutes which allows the candidate 2 minutes to answer each question.
Solution and Explanation:
Approach Solution 1:
2/5 of the pool's capacity remains to be filled once the pool has been filled to its maximum 3/5 capacity.
Since it takes 8 hours to fill 3/5 of the pool, it will take 2 hours to fill the remaining 2/5.
In order to fill 2/5 of the pool, it will take 8/(3/5)2/5=16/3 hours, or 5 hours and 20 minutes (since if t is the amount of time required to fill the pool, then t3/5=8 --> t=85/3 hours).
Or insert values: Assume the pool has a 5-litre capacity. --> 3/5 of the pool, or 3 liters, are filled in 8 hours, resulting in a rate of 3/8 liters per hour; --> to fill the remaining 2 liters, it will take 5 hours and 20 minutes because time=job/rate=2/(3/8)=16/3 hours.
Ans = 5 hours and 20 mins
Correct Answer: B
Approach Solution 2:
3/5 of the work is completed and 2/5 is still to be done after 8 hours.
This indicates that the job's remaining portion is 2/3 the size of its first portion.
Consider it like this: If the pool could hold 5 gallons, the first part of the job would be to fill 3 gallons, and the last portion would be to fill 2 gallons.
Filling 2 gallons is the final task, which is 2/3 the size of the initial task (filling 3 gallons)
Therefore, if the first portion of the project takes 8 hours, the remaining portion will take 2/3 of that amount of time.
8 hours divided by 1/3 equals 16/3 hours, or 5 1/3 hours, or 5 hours and 20 minutes.
Correct Answer: B
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