Question : Motorcyclist P started his journey at a speed of 30 km/h. After 30 minutes, motorcyclist Q started from the same place but with a speed of 40 km/h. How much time (in hours) will Q take to overtake P?
Option 1: $1$
Option 2: $\frac{3}{2}$
Option 3: $\frac{3}{8}$
Option 4: $2$
Correct Answer: $\frac{3}{2}$
Solution :
Relative speed in the same direction = (40 – 30) = 10 km/hr
Distance covered by P in 30 minutes,
= $(30×\frac{1}{2})=15$ km
The time it will take Q to overtake P = $\frac{15}{10}$ = $\frac{3}{2}$ hr
Hence, the correct answer is $\frac{3}{2}$.
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