36.
If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hours a day;
in how many days will 16 pumps raise 1736 tonnes of water, working 9 hours a
day?
[A]
6
[C]
8
[B]
7
[D]
9
Answer : B
Explanation :
|
|
|
Let
the required number of days be x. Then,
|
|
|
|
Less
pumps, More days (Indirect Proportion)
|
|
|
|
Less
weight, Less days (Direct Proportion)
|
|
|
|
More
hours / day, Less days (Indirect Proportion)
|
|
|
|
|
|
Pumps
|
16
: 18
|
|
Weight
|
2170
: 1736
|
|
Hours/day
|
9
: 7
|
|
|
::
10 : x
|
|
|
|
|
|
|
|
|
|
(16
x 2170 x 9 x x) = (18 x 1736 x 7 x 10)
|
|
|
|
|
|
|
|
|
18 x 1736 x 7 x 10
|
|
16 x 2170 x 9
|
|
=
7
|
|
