Question : Vinay and Mahesh are 250 metres apart from each other. They are moving toward each other at speeds of 36 km/hr and 54 km/hr respectively. In how much time will they meet each other?
Option 1: 12 seconds
Option 2: 20 seconds
Option 3: 10 seconds
Option 4: 15 seconds
Correct Answer: 10 seconds
Solution :
Given: Vinay and Mahesh are 250 metres apart from each other.
They are moving toward each other at speeds of 36 km/hr and 54 km/hr respectively.
Use the formula, Time = $\frac{\text{Distance}}{\text{Speed}}$.
The relative speed = 36 + 54 = 90 km/hr
Convert km/hr into m/s by multiplying with $\frac{5}{18}$,
⇒ 90 km/hr = 90 × $\frac{5}{18}$ = 25 m/s
The time when Vinay and Mahesh meet each other = $\frac{250}{25}$ = 10 seconds.
Hence, the correct answer is 10 seconds.
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