NIMCET 2010
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.
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option B — 1 km
Detailed Solution
Relative speed km/h; the gap is m km.
Time to catch up h.
Distance run by the culprit km.
✓ Check
The police run km, which is the culprit's 1 km plus the 250 m gap.⚠ Common trap
(A) 2 km takes the time as h, forgetting to divide the gap by the relative speed of 2 km/h.Quick tip
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Ask a doubtMore Time, Speed & Distance Questions
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Time, Speed & Distance — Preparation
This question tests your understanding of Time, Speed & Distance, a key topic in the Quantitative Aptitude section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Time, speed and distance questions are built on one relationship: distance = speed x time. The topic covers average speed, relative speed of objects moving in the same or opposite directions, problems on trains crossing poles, platforms and other trains, boats and streams, and races. Two shortcuts solve a large share of these questions. To convert km/h to m/s, multiply by 5/18. When equal distances are covered at speeds a and b, the average speed is 2ab/(a + b), not the simple average. For trains, remember that the distance covered while crossing includes the length of the train itself. Ratio reasoning also helps: at a constant distance, time is inversely proportional to speed. Practise the questions below on trains, boats, relative speed and average speed, each with a step-by-step solution.