Q45. A person travels 285 km in 6h. In the first part of the journey, he travels at 40 km/h by bus. In the second part, he travels at 55 km/h by train. The distance travelled by train is
(b) 165 km
Let time taken while travelling by bus = x h
Time taken while travelling by Train = (6 - x) h
Distance covered by Bus = 40x
Distance covered by Trains = 55(6 -x)
Total Distance covered = 285
40x + (55) (6 -x) = 285
40x + 330 – 55x = 285
X = 3
Time taken while travelling by Train = 3h
Speed of Train = 5 km/h
Distance = s × T
= 55 × 3
= 165 km Ans.