Question : Two boats are travelling at the speed of 36 km/hr and 54 km/hr respectively towards each other. What will be the distance between the two boats one second before they collide?
Option 1: 40 metres
Option 2: 35 metres
Option 3: 25 metres
Option 4: 15 metres
Correct Answer: 25 metres
Solution :
Given: Two boats are travelling at the speed of 36 km/hr and 54 km/hr respectively towards each other.
Convert km/hr into m/s by multiplying $\frac{5}{18}$
36 km/hr = 36 × $\frac{5}{18}$ = 10 m/s
54 km/hr = 54 × $\frac{5}{18}$ = 15 m/s
Use the formula,
Distance = Speed × Time
The distance between the two boats is one second before they collide
= 10 m/s × 1s + 15 m/s × 1 s = 25 metres
Hence, the correct answer is 25 metres.
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