Question

A 300 metre long train moving with an average speed of 126 km/hr. crosses a platform in 24 seconds. A man crosses the same platform in 5 minutes. What is the speed of man in metre/second?

Options

• 1.8 metre/second

• 1.2 metre/second

• 1.5 metre/second

• Cannot be determined

Answer 1

1.8 metre/second

Explanation:

Let the length of the platform be x metre.

Speed of train = 126 kmph

= `((126 xx 5)/18)` m/sec

= 35 m/sec

∴ Speed of train = `(x + 300)/24`

⇒ 35 = `(x + 300)/24`

⇒ `35 xx 24 = x + 300`

⇒ 840 = `x + 300`

⇒ `x` = 840 – 300 = 540 metre

∴ Speed of man = `"Distance"/"Time"`

= `540/(5 xx 60)`

= 1.8 m/sec