A railway bridge is constructed between India and Sri Lanka which is 180 km long. A train takes 3 hours to pass it, if a boat speed in still water is 30 km/h faster than the train can travel the same distance along the bridge in 4 hours. Find the speed of the stream.?

Question

A railway bridge is constructed between India and Sri Lanka which is 180 km long. A train takes 3 hours to pass it, if a boat speed in still water is 30 km/h faster than the train can travel the same distance along the bridge in 4 hours. Find the speed of the stream.?

10 km/h
42 km/h
45 km/h
20 km/h

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 3 : 45 km/h

Given:

Length of Bridge = 180 km

Time Taken by train(T_t) = 3 hours

Time Taken by Boat(T) = 4 hours

Formula Used:

Speed = Distance/Time

Concept:

If distance is equal, then S₁× T₁= S₂× T₂

Calculations:

Speed of Train(S_t) = Distance/Time

Speed of Train(S_t) = 180/3 = 60 km/h

Speed of Boat(S_b) = S_t + 30

Speed of Boat(S_b) = 60 + 30 = 90 km/h

As we can see speed of boat is more than the speed than the speed of the train, still it takes more time to travel the same distance as compare to train. It is because stream is upstream

The Stream is Upstream.

Let the speed of Upstream(S_up) is x

Speed of the boat in stream(S) = S_b – S_up

Train and boat travelled same distance

It means S_t × T_t = S × T

⇒ 60 × 3 = S × 4

⇒ S = 180/4

⇒ S = 45 km/h

⇒ S = S_b – S_up

⇒ 45 = 90 – S_up

⇒ S_up = 90 – 45 = 45 km/h