Two trains start moving from stations S and R. Both trains move towards each other at speeds of 35 km/hr and 42 km/hr respectively. When they meet each other, the second train has traveled 90 km more than the and#64257;rst. What is the distance (in km) between S and R?a)450b)990c)540d)1040Correct answer is option 'B'. Can you explain this answer?

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Two trains start moving from stations S and R. Both trains move towards each other at speeds of 35 km/hr and 42 km/hr respectively. When they meet each other, the second train has traveled 90 km more than the ﬁrst. What is the distance (in km) between S and R?

a)
450
b)
990
c)
540
d)
1040

Correct answer is option 'B'. Can you explain this answer?

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Two trains start moving from stations S and R. Both trains move toward...

⇒ Let the total distance covered by the train ‘S’ be ‘d’, Then the distance covered by train ‘R’ be (90 + d)

⇒ When they meet for the first time, they both have travelled for the same time, so the Speed is directly proportional to Distance

⇒ S₁/S₂ = D₁/D₂

⇒ (35/42) = d/(d + 90)

⇒

⇒ 5× (d + 90) = 6d

⇒ 5d+ 450 =6d

⇒ d = 450

⇒ Distance between S and R = 450 + (450 + 90)

∴ Required Distance = 990

Alternative:

Difference in speed between 2 trains = 42 - 35 = 7 km/hr

Since train 2 has covered 90 kms more before they meet.

So, total time taken to cover 90 km = 90/7 = 12.857 hours

Distance covered by train 1 before they meet = 12.857 × 35 = 450 km

Distance covered by train 2 before they meet = 450 + 90 = 540 km

So total distance between S and R = 450 + 540 = 990 km

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