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Two trains Start at the same time from Stations A and B respectively and travel towards each other at a speed of 60 km/h and 40 km/h respectively. At
Question

Two trains Start at the same time from Stations A and B respectively and travel towards each other at a speed of 60 km/h and 40 km/h respectively. At the time they meet, the faster train has travelled 60 km more than the slower train. What is the distance between the two stations?

A.

300km

B.

450 km

C.

420 km

D.

360 km

Correct option is A

Given:

Two trains start from Stations A and Stations B.

They travel towards each other at 60 km/h and 40 km/h.

By the time they meet, the faster train has travelled 60 km more than the slower train.

Concept used: 

For opposite direction,

Relative speed, Sr= S1+ S2  

Distance = Speed ×\times time​

Solution:

let time taken by train to meet be t.

Distance covered by the Train A = 60t

Distance covered by the Train B = 40t

Difference in distance = 60t - 40t = 20t

Now, 20t = 60

t = 3

So, Total distance between the two stations

60t + 40t = 100t

= 100 × 3

= 300 km

Distance between the two stations 300km.

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