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CAT Exam Model Paper 1 with solutions for free online practice
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© examsnet.com
Question : 70
Total: 100
Distance covered by a train is directly proportional to the time taken and also it varies directly as the square root of fuel used and varies inversely as the number of wagons attached to it. A train coveres 192 km journey in 20 hours when there are 10 wagons attached to it and total fuel consumption was 256 litre of diesel. Find the consumption of fuel per km when a train goes 200 km in 25 hours with 15 wagons attached to it
1.5 l/km
2 l/km
2.8 l/km
20 l/km
Validate
Solution:
(b) D ∝
√
F
×
T
W
, D → Distance, F → Fuel,T → Time, W → No. of wagons
D
=
k
√
F
×
T
W
192
=
k
√
256
×
20
10
⇒
k
=
6
Again, 200
=
6
×
√
F
×
25
15
⇒
√
F
=
20
⇒
F
=
400
litre
∴ Fuel used per km
=
400
200
=
2
l/km
© examsnet.com
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