NIMCET 2020
Mr. Kumar drives to work at an average speed of 48 Km/hr. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?
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Answer: Option B — 40 Kms
Detailed Solution
At one speed, time is proportional to distance, so the extra 20% of the distance (60% − 40%) takes the extra 10 minutes.
20% of D km, so D = 40 km.
✓ Check
60% = 24 km takes 30 min and 40% = 16 km takes 20 min; the difference is 10 min.⚠ Common trap
(D) 48 km is just the distance covered in one hour.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.