If 25 pumps can raise 2500 tonnes of water in 20 days working 5 hours a day in how many days will 2...........

Quant (SSC) Time and work

If 25 pumps can raise 2500 tonnes of water in 20 days, working 5 hours a day; in how many days will 20 pumps raise 1200 tonnes of water, working 8 hours a day?

6 days

3/2 days

15/2 days

7/2 days

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Explanation:

Let required number of days be z. Then,
Less pumps, More days (Indirect proportion)
Less weight, Less days (Direct proportion)
More hours/ day, Less days (Indirect proportion)
Pumps 20 : 25
water 2500 : 1200 :: 20 : z
Hours 8 : 5
z = 25 x 1200 x 20 x 5 /20 x 2500 x 8 = 15/2 days