Question : A walks at a speed of 10 km/hr and 20 hours after his start, B starts on his cycle after him at the speed of 15 km/hr. How far from the starting point will B catch A?
Option 1: 600 km
Option 2: 800 km
Option 3: 1000 km
Option 4: 700 km
Correct Answer: 600 km
Solution :
Distance covered by A = Speed
of A × Time taken by A
.
= 10 × 20 = 200 km
Now, Relative Speed
B
= Speed
B
− Speed
A
= 15 − 10 = 5 km/hr
So,the time taken by B to catch A = $\frac{200}{5}$ = 40 hours
So, the distance covered before A was caught = Speed of A × Time taken by B to catch A
= 15 × 40 = 600 km
Hence, the correct answer is 600 km.
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