From point H, at 6:30 pm, a train starts moving towards point K at the speed of 40 km/hr. Another train starts moving from point K at 7:30 p.m. towards point H at the speed of 72 km/hr. Both the train meet at 11:30 p.m. at point J. What is the ratio of the distance HJ and KJ?
Answer & explanation
Correct answer: option 1
Let train A with 40 km/hr speed starts from point H, moving towards point K
And train B with 72 km/hr speed stars from point K, moving towards point H.
Time taken by train A to reach at point J = 5 hr
And time taken by train B to reach at point J = 4 hr
Distance covered by train A to reach at point J = 5 × 40 = 200
And distance covered by train B to reach at point J = 4 × 72 = 128
Thus, HJ = 200 km & KJ = 128 km
HJ : KJ = 200 : 128 = 25 : 16
So ,The correct answer is 25 : 16