Question

A train 150m long, travelling at 75km/hr overtakes another train travelling in the same direction at 45 km/hr. in how many seconds does the first train pass a passenger sitting in the second train. if the train passes the second train completely in 30 seconds, then find the length of the second train.

Answer 1

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Answer 2

The length of the second train is, L = 100m.

What is the formula of time?

The formula for time is given as, [Time = Distance ÷ Speed].

What is the unit of speed?

• Speed is defined as the rate of change of distance with time.
• It has the dimension of distance by time.
• Thus, the SI unit of speed is given as the combination of the basic unit of distance and the basic unit of Time.
• Thus, the SI unit of Speed is meter per second.

According to the question:

$v_{1}=\left(\frac{75*5}{18}\right)\frac{m}{s} \\v_{2}=\left(45 \times \frac{5}{18}\right) \frac{m}{s}$

Time taken to pass passenger.

$t=\frac{150}{v {1}-v{2}}$

t = 18 sec.

Let length of second train = L.

$L+150=\left(v_{1}-u_{2}\right) \times 30$

L= 250 - 150.

L = 100m.

Hence, The length of the second train is, L = 100m.

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