Time, Speed & Distance Questions with Solutions
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.
- Q21.
Navjivan Express from Ahmedabad to Chennai leaves Ahmedabad at 6:30 am and travels at 50 kmph towards Baroda, situated 100 km away. At 7:00 am Howrah-Ahmedabad Express leaves Baroda towards Ahmedabad and travels at 40 kmph. At 7:30 am Mr. Shah, the traffic controller at Baroda, realises that both trains are running on the same track. How much time does he have to avert a head-on collision between the two trains?
A. 15 minB. 20 minC. 25 minD. 30 mineasyAsked in NIMCET 2019View solution › - Q22.
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph, and passes them completely in 9 and 10 seconds respectively. The length of the train is:
A. 72 mB. 54 mC. 50 mD. 45 mmediumAsked in NIMCET 2019View solution › - Q23.
Two cars, Car A and Car B, are travelling on a highway. Car A starts from point X and travels at a constant speed of 60 km/h, while Car B starts from the same point X but travels at a constant speed of 80 km/h. If both cars travel for 1.5 hours, what is the difference in distance covered by Car B compared to Car A?
A. 20 kmB. 25 kmC. 35 kmD. 30 kmeasyAsked in NIMCET 2024View solution ›