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Previous Year Question (PYQs)
2
A culprit was spotted by the police from a distance of 250 m. When the police started running towards the culprit at 10 km/h, the culprit also fled at 8 km/h. Find how far the culprit had run before he was caught.
Solution
Police speed = 10 km/h
Culprit speed = 8 km/h
Relative speed = 10 − 8 = 2 km/h
Initial gap = 250 m = 0.25 km
Time to catch = distance / relative speed
= 0.25 / 2
= 0.125 hours
Distance run by culprit = speed × time
= 8 × 0.125
= 1 km
Correct answer: 1 km
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