From point P, at 6:30 pm, a train starts moving towards Q with the speed of 40 km/hr. Another train starts moving from point Q at 7:30 p.m. towards point P at the speed of 60 km/hr. Both of them meet at 11:30 p.m. at point R. What is the ratio of PR and QR?
1). 3 : 4
2). 5 : 6
3). 4 : 5
4). 5 : 4
Let train A with 40 km/hr speed starts from point P, moving towards point Q
And train B with 60 km/hr speed stars from point Q, moving towards point P.
Time taken by train A to reach at point R = 5 hr
And time taken by train B to reach at point R = 4 hr
Distance covered by train A to reach at point R = 5 × 40 = 200
And distance covered by train B to reach at point R = 4 × 60 = 240
Thus, PR = 200 km & QR = 240 km
∴ PR : QR = 200 : 240 = 5 : 6