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AE-JE Foundation: Quantitative Aptitude (Time, Speed & Distance)
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Question 1
In a race of 400 metres, Ankit beats Bivan by 20 metres or by 10 seconds. What is the speed of Ankit ?
Question 2
A man has to increase his speed by 3 kmph to make up for a delay of 3 hrs. If the distance is 40 km, what is his final speed?
Question 3
Ajay, Bharat and Mohan went out for a 100 km journey. Ajay and Mohan started the journey in Ajay’s car at the rate of 25km/h, while Bharat walked at 5km/h. After sometime, Mohan got off and started walking at the rate of 5 km/h and ajay went back to pick up Bharat. All three reached the destination simultaneously. What was the number of hours required for the trip?
Question 4
Two Trum can run at the speed of 54km/hr and 36km/hr respectively on parallel lines. If they are moving in opposite direction they cross each other in 10 seconds. Find the length of Trum having greater speed, when a person sitting in the faster Trum observes that he passes the other Trum moving in same direction in 30 seconds.
Question 5
A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively.
Question 6
A bus travelled a distance of 1000 km, a problem developed in it’s engine after travelling some distance at 3/5th of it’s speed it reached 2 hours late. If the engine problem had developed after it had travelled for another 150 km, it would have reached 1 hour earlier than the time it actually reached. Find out the distance it travelled without any problem and its speed over that part of journey.
Question 7
The numbers expressing (in meter) the length of a fast and a slow train are four times the numbers expressing (in km/h) the speed of the slow and the fast train respectively. The speed of the slow train and that of the fast train consists of the same two digits, but in a reverse order. The time taken by the two trains to pass each other, when travelling in an opposite direction on parallel lines will be.
Question 8
Ali travels at a speed of X kmph to cover a distance of 36 km in 54 min. Shyam takes 30 mins to cover same distance. Find the difference of their speed.
Question 9
An express train covers a distance in 50 min, if it runs at a speed of 48 km/h on an average. The speed at which the express train must run to reduce the time of journey to cover a distance 40% longer in 40 min ?
Question 10
Two trains started simultaneously towards each other and meet 4 hr 15 min later. The ratio of the speed of faster train to the slower train is 6 : 5 . Find the total time taken by the slower train to cover whole distance .
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AE & JE ExamsOct 10AE & JE Exams
