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# CAT questions – Time Speed and Distance [VIDEO Solutions]

QUESTION 1
If Rakesh can beat Brijesh by one tenth of a mile in a two mile race and Brijesh can beat Nishant by one fifth of a mile in a two mile race, by what distance could Rakesh beat Nishant in a two mile race?
1. $0.13\ miles$
2. $0.20\ miles$
3. $0.29\ miles$
4. $0.37\ miles$
Option: 3
Video Explanation
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QUESTION 2
Brijesh and Rakesh are standing at diametrically opposite end of a circular track of length 60 meters. Both start running simultaneously on the track in anti-clockwise direction with speed 3 m/s and 5 m/s respectively. In an hour, how many times will they meet at the point from where Brijesh started running.
1. 0
2. 120
3. 240
4. 480
Option: 1
Video Explanation
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QUESTION 3
Ankit and Brijesh are walking in opposite directions along the same route between A and B. Ankit is going from A to B, and Brijesh from B to A. They start at the same time. They pass each other 3 hours later. Ankit arrives at B 2.5 hours before Brijesh arrives at A. How many hours does it take for Brijesh to go from B to A?
1. $4$
2. $4.5$
3. $7$
4. $7.5$
Option: 4
Video Explanation
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QUESTION 4
A passenger travelling by a train hears two gunshots at an interval of 33 minutes. The two gunshots were fired at a point along the track at an interval of 36 minutes. What is the speed of the train (in m/s) given that sound travels of 330 m/s?
1. 27.5 m/s
2. 30 m/s
3. 32 m/s
4. 32.5 m/s
Option: 2
Video Explanation
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QUESTION 5
A and B are the two diametrically opposite points on a circular track. Two friends Malkom White and Stefen Red  both are standing at point A on the circular track. Malkom White starts running in anticlockwise direction on the track. At the same time,  Stefen Red starts running in clockwise direction on the track. They keep on running on the track till they meet for the 20th time. Whenever they meet anywhere on the track, and if the meeting point is closer to point A, Malkom White gives a red card to Stefen Red; if the meeting point is closer to point B, Stefen Red gives a white card to Malkom; and if the meeting point is equidistant from both A and B, then no card is exchanged. If the ratio of their speed is 5:7, at the end of their 20th meeting, how many red cards Stefen Red is holding