Latest CTS Aptitude Question SOLUTION: A water filter takes 40 min. to filter 20 litres of water. Another filter of same specifications takes 30 min. to filter the same amount of water. If both the filters are used at t

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(#M40156138) CTS Numerical Ability question Keep an EYE

A water filter takes 40 min. to filter 20 litres of water. Another filter of same specifications takes 30 min. to filter the same amount of water. If both the filters are used at the same time, then how long will it take them to filter 70 litres of water?

Options
1)1/2 hour
2)3/4 hour
3) 1 hour
4) 1 1/2 hours

Asked In CTS ABHINAV PUSHPAM (8 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

Jhilik Sil Sarma  (7 years ago)

Ans is 3)1 hour
For the first filter,
40 minutes take to fill 20 liters of water.
Therefore,in 1 minute 20/40=1/2 liters of water can be filled.

For the second filter,
30 minutes take to fill 20 liters of water.
Therefore,in 1 minute 20/30=2/3 liters of water can be filled.
So,Two types together can fill in 1 minutes=(1/2+2/3)=7/6 liters.
Now,if 7/6 liters can be filled in 1 minute then,
70 liters can be filled in=(6/7)*70=60 minutes=1 hour.

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SAYAN MUKHERJEE  (7 years ago)

it would take 40*30/(40+30)=40*30/70 to fill 20 liter of water. then to fill 70 liter of water it would take 40*30/70 *70/20=60 mins or 1 hour.

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Pratik Burnwal  (8 years ago)

60/5*70/20=42 minutes

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hari  (7 years ago)

1hour exactly

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