Question

A train 120 m long, travelling at 90 km/hr, overtake another train travelling in the same direction at 72 km/hr and passes it completely in 50 seconds.
Find:
(1) the length of the second train in metres and
(2) the time they would have taken to pass one another if they had been travelling at these speeds in opposite direction.

Answer 1

Answer:

Step-by-step explanation:

• Let the length of second train be x meter.

• Relative speed = (90 - 72 ) x 5/18 = 18 x 5/18 = 5 m /sec.

Time =  ( 120 + x )/5

⇒ 50 x 5 = 120 + x

⇒ x = 250 - 120

∴ x = 130.

• So the length of second train = 130 m.

In opposite direction

• Relative speed = 90 + 72 = 162 x  5/18 = 45 m/sec.
• Time taken to cross = 250/45 = 50/9 sec

Answer 2

Answer:

I) 130 m

II) 50/9 secs

Step-by-step explanation:

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