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Question

If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hours a day then in how many days will 16 pumps raise 1736 tonnes of water, working 9 hours a day ?


A
6
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B
7
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C
8
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D
9
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Solution

The correct option is C 7
Let the required number of days be x.
 Then,
Less pumps, More days (Indirect Proportion)
Less water, Less days (Direct Proportion)
More hours / day, Less days (Indirect Proportion)
 Pumps 8 : 9
Weight 1085 : 868
 Hours/day 9 : 7 :: 10 : x
$$ (8 \times  1085 \times  9 \times  x) = (9 \times  868 \times  7 \times  10)$$
$$ x = (9 \times  868 \times  7 \times  10)/(8 \times  1085 \times  9)$$
$$ x=7 $$
Answer (B) 7

Mathematics

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