Quantitative Aptitude Time, Speed and Distance
Time, Speed and Distance Important formulas: Distance travelled = (Speed x Time) So, Speed = Distance / Time and Time = Distance / Speed
km/hr to m/sec conversion:
m/sec to km/hr conversion:
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If the ratio of the speeds of A and B is a : b, then the ratio of the times taken by them to cover the same distance is 1 / a : 1 / b or b : a. Suppose a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then, the average speed during the whole journey is (2xy / x + y) km/hr.. For more articles on other subjects, Online coaching for SBI, IBPS exams, online banking preparation and regular updates register with Takshila Learning.
Time, Speed and Distance Q1. A man crosses a 600 m long road in 5 minutes. What is his speed in km per hour? Sol:
Time, Speed and Distance Q2. A train covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1(2/3) hours, it must travel at a speed of: Sol:
Time, Speed and Distance Q3. If a person runs at 14 km/hr instead of 10 km/hr, he would have covered 20 km more. The actual distance travelled by him is: Sol: Let t hr is the time for which that person runs. 14t – 10t = 20 ⇒ 4t = 20 Hence, t = 5hr So, the actual distance travelled by him is = 10 × 5 = 50km
Time, Speed and Distance Q4. Excluding stoppages, the speed of a train is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the train stop per hour? Sol: Due to stoppages, it covers 9 km less. Time taken to cover 9 km = (9 / 54) Ă— 60 min = 10 min
Time, Speed and Distance Q5. A person covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less time. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is: Sol:
Time, Speed and Distance Q6. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is: Sol:
Time, Speed and Distance Q7. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is: Sol: