List of top Mathematics Questions on Time, Speed and Distance asked in MAT

If a train runs at 50 km/hr, it reaches 60 minutes earlier than its schedule time at its destination but if it runs at 8.33 m/s it reaches at its destination 300 minutes late, find the correct time for the train to complete its journey.
Mohan can reach his destination on time by travelling at a speed of 54 km/hr. If one-fourth of the time, he covers \( \frac{2}{9} \) of the total distance, at what speed should the remaining distance be travelled so as to reach his destination on time?
A car travelling with $\frac{2}{5}$ of its actual speed covers 400 km in 16 hours 40 minutes. Find the actual speed of the car.
Two cyclists start together to travel to a certain destination, one at the rate of 4 kmph and the other at the rate of 5 kmph. Find the distance if the former arrives half an hour after the latter.
A student walks from his house at \( \frac{5}{2} \) km/h and reaches his school late by 6 minutes. Next day, he increases his speed by 1 km/h and reaches 6 minutes before school time. How far is the school from his house?
Two cyclists start together to travel to a certain destination, one at the rate of 4 kmph and the other at the rate of 5 kmph. Find the distance if the former arrives half an hour after the latter.
The number that must be added to each of the numbers 8, 21, 13 and 31 to make the ratio of the first two numbers equal to the ratio of the last two numbers is
The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day, 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?
A runs \( 1 \frac{2}{3} \) times as fast as B. If A gives B a start of 80m, how far must the winning post be, so that A and B might reach it at the same time?
A man takes 5 hours to walk to a certain place and returns by car. He would have, however, gained 3 hours if he had completed his entire journey by car. How long would he have taken to walk both ways?
A man rows 1 km upstream in 20 min and 1 km downstream in 15 min. What is his speed of rowing in still water?
A man covers a certain distance on a toy train. If the train moved 4 km/h faster, it would take 30 min less. If it moved 2 km/h slower, itwould have taken 20 min more. What is the distance covered?
A man reaches his office 10 minutes late if he drives his car at 40 kmph, and 5 minutes early if he drives his car at 50 kmph from his home. How should I calculate the distance of his office from his home?
A car driver, driving in a fog, passes a pedestrian who was walking at the rate of 2 km/h in the same direction. The pedestrian could see the car for 6 min and it was visible to him up to a distance of 0.6 km. What was the speed of the car?
A booster pump can be used for filling as-well-as for emptying a tank. The capacity of the tank to 2400 m3. The emptying capacity of the tank i8 10 m3 per min higher than its filling capacity and the pump needs 8 min lesser to empty the tank than it needs to fill it.What is the filling capacity of the pump?
A runs 1\(\frac{2}{3}\) times as fast as B. If A gives B a start of 3 80 in. How far must the winning post be so that A and B reach it at the same time?
A and B walk around a circular track. They start at 8 am from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9:30 am?
A boat travels upstream from B to A and downstream from A to B in 3 h. If the speed of the boat in still water is 9 km/h and the speed of the current is 3 km/h, what is the distance between A and B?
A man has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in \(\frac{2}{3}{rd}\) time, what should be his speed to cover the remaining distance in the remaining time?
A man starts cycling from A to B and, at the same time, another man starts cycling from B to A along the same path. They completed their journeys in \(1\frac{1}{3}\) and \(2\frac{2}{5}\) hours, respectively. At what speed has the second man cycled if the first cycles at 16 km/h?
Two men A and B start walking from a place 'X' at \(4\frac{1}{2}\) km/h and \(5\frac{3}{4}\) km/h respectively. How many km apart will they be at the end of \(3\frac{1}{2}\) hours if they are walking in the same direction?
A train travels a distance of 300 km at a constant speed. If the speed of the train is increased by 5 km an hour the journey would have taken 2 h less. The original speed of the train was
A plane left 30 min later than its scheduled time to reach its destination 1500 km away. In order to reach in time it increases its speed by 250 km/h. What is its original speed
1 have to reach a certain place at a certain time and I find that I shall be 15 min too late, if I walk at 4 km an hour, and 10 min too soon, if I walk at 6 km an hour. How far have I to walk
Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?