Question

The reduction in the speed of an engine is directly proportional to the square of the number of bogies attached to it. The speed of the train is 100 km/hr when there are 4 bogies and 55 kmph when there are 5 bogies. What is the maximum number of bogies that can be attached to the train so that it can move?

Answer 1

Answer:

5 should be the max number of bogies. on 6, its speed will be reduced to zero. train wont move. to be able to move, it should have 5 bogies at max.

Step-by-step explanation:

reduction = k x square of number of bogies.

45 = k (5²-4²)

45= 9k

k= 5

now for train to move with 6 bogies, reduction in spd should be less than 55 kmph...

55 > k (6²-5²)

55 > 5 x 11