Two trains start from places A and B, respectively, and travel towards each other at the speeds of 60 km/h and 50 km/h, respectively. By the time they meet, the faster train has travelled 110km more than the slower train. What is the distance between A and B?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 1210 km
Two trains start from stations A and B towards each other at the speed of 120 km/h and 100 km/h respectively.
Speed = Distance/ Time
Distance traveled By train B = DB = x km
It is given that train A traveled 240 km more than train B.
So the distance traveled By train A = DA = (x + 110) km
Let the time taken by train A is TA and time taken by train B is TB
When these train meets Time taken by train A will be equal to the time taken by train B.
TA = TB
DA/60 = DB/50
(x + 110)/60 = x/50
50x + 5500 = 60x
10x = 5500 km
x = 550 km
The total distance between A and B = 2x + 110 = (2 × 550 + 110) km = 1210 km