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03 Jun 2020, 10:54
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D
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Difficulty:
55%
(hard)
Question Stats:
70% (02:30) correct
30%
(02:59)
wrong
based on 183
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History
Date
Time
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Not Attempted Yet
The water from outlet A, flowing at a constant rate, can fill a rectangular swimming pool in 12 hours while the water from outlet B, flowing at a constant rate, can fill the same swimming pool in 18 hours. On a day when the pool was empty, outlet A was opened at 7 AM and outlet B was opened at 10 AM. Outlet A was closed at 2 PM and outlet B was closed at 4 PM. If there was no water flow from outlet A between 10:30 AM to 11:30 AM because of maintenance work, the height of the water in the pool at 4 PM was approximately what percentage of the depth of the pool?
A. 55%
B. 67%
C. 75%
D. 83%
E. 93%
A. 55%
B. 67%
C. 75%
D. 83%
E. 93%
yashikaaggarwal
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03 Jun 2020, 12:30
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A fills swimming pool in 12 hours
B fills swimming pool in 18 hours
LCM of 12,18 is 36
Let the capacity if swimming pool is 36 litre
A can fill 3litre/hour
B can fill 2litre/hour
A is opened at 7 am and closed at 2 pm. = 7 hours in total.
A should fill 7*3=21 litre in that time. But there was a maintainance in between for an hour. 3 less litre were filled.
So A filled only 21-3=18 litres
B was opened from 10 am to 4pm = 6 hours
B should fill 6*2 = 12 litres in pool
A and B filled 18+12 litres in the pool = 30 litre
Which is x percent of pool
36*x/100=30
X= 83.333 (the capacity of pool filled till 4 pm is 83% approx)
Answer should be D
Posted from my mobile device
B fills swimming pool in 18 hours
LCM of 12,18 is 36
Let the capacity if swimming pool is 36 litre
A can fill 3litre/hour
B can fill 2litre/hour
A is opened at 7 am and closed at 2 pm. = 7 hours in total.
A should fill 7*3=21 litre in that time. But there was a maintainance in between for an hour. 3 less litre were filled.
So A filled only 21-3=18 litres
B was opened from 10 am to 4pm = 6 hours
B should fill 6*2 = 12 litres in pool
A and B filled 18+12 litres in the pool = 30 litre
Which is x percent of pool
36*x/100=30
X= 83.333 (the capacity of pool filled till 4 pm is 83% approx)
Answer should be D
Posted from my mobile device
