AILET entrance exam Question Bank Solutions

In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly same speed as before, then by how many metres will S beat N?

A streamer goes downstream from one port to another in 4 hours. It covers the same distance upstream in 5 hours. If the speed of the stream is 2 km/h, the distance between the two ports is

A train running at the rate of 40 km/h passes a man riding parallel to the railway line in the same direction at 25 km/h in 48 seconds. Find the length of the train in metres.

Anju is waiting on the railway station for the arrival of her train. Two trains running in opposite directions cross Anju on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speed is

Neeraj is going to Agra on his bike from Delhi. He overtakes a bus traveling from Delhi to Agra at 4.30 pm. Neeraj reaches Agra at 6 pm. After stopping there for an hour, he starts back towards Delhi and meets the same bus at 7.30 pm which was moving towards Agra at that time. If both the bus and the bike were traveling with uniform speeds on the same route, at what time would the bus reach Agra?

A person crosses a 600m long street in 5 min. What is his speed in km per hour?

If a person walks at 14 km/h instead of 10 km/h, he would have walked 20 km more. The actual distance travelled by him is

In covering a distance of 30 km, Abhay takes 2 h more than Sameer. If Abhay doubles his speed, then he would take 1 h less than Sameer. Abhay's speed is

A man covered a certain distance at some speed. Had he moved 3 km/h faster, he would have taken 40 min less. If he had moved 2 km/h slower, he would have taken 40 min more. The distance (in km) is

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/h and the time of flight increased by 30 min. The duration of the flight is

Excluding stoppages, the speed of a bus is 54 km/h and including stoppages, it is 45 km/h. For how many minutes does the bus stop per hour?

Robert is travelling on his cycle and has calculated to reach point A at 2 pm if he travels at 10 km/h, he will reach there at 12 noon if he travels at 15 km/h. At what speed must he travel to reach A at 1 pm?

The length of the bridge, which a train 130 m long on travelling at 45 km/h can cross in 30 s, is

A train passes a 110 m long platform in 40 s and a boy standing on the platform in 30 s. The length of the train is

A train moving with uniform speed crosses a pole in 2 s and a 250 m long bridge in 7 s. Find the length of the train.

Two trains, each 100 m long, moving in opposite directions, cross each other in 8 s. If one is moving twice as fast the other, then the speed of the faster train is

Two trains of equal length are running on parallel lines in the same direction at 46 km/h and 36 km/h. The faster train passes the slower train in 36 s. The length of each train is

Two trains running in opposite directions cross a man standing on the platform in 27 sec and 17 sec, respectively and they cross each other in 23 sec. The ratio of their speeds is

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B which is 75 km away from A at the same time. On the way. however, the train lost about 12.5 min while stopping at the stations. The speed of the car is

A boat takes 90 min less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 m/h, the speed of the stream is