Question : A rides his bicycle at 15 km/hr, while B starts his ride after 6 hours to catch A at a speed of 25 km/hr. Time taken by B to catch A (in hours) is:
Option 1: 9
Option 2: 8
Option 3: 10
Option 4: 6
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Correct Answer: 9
Solution :
Distance travelled by A = Speed × Time
So, Distance = 15 × 6 = 90 km
Relative speed of B to A = Speed of B – Speed of A
Relative speed = (25 – 15) km/hr = 10 km/hr
Time taken by B to catch A = $\frac{\text{Distance}}{\text{Relative speed}}$ = $\frac{90}{10}$ = 9 hours
Hence, the correct answer is 9.
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