MEDIUM
CAT
IMPORTANT
Earn 100
Clocks A, B and C strikes every hour. B slows down and takes min longer than A per hour while C become faster and takes min less than A per hour. If they strike together at midnight, when will they strike together again
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Important Questions on Time, Speed and Distance
MEDIUM
CAT
IMPORTANT
A boat went down the river for a distance of km. It then turned back and returned to its starting point, having travelled a total of hours. On its return trip, at a distance of km from the starting point, it encountered a log, which had passed the starting point at the moment at which the boat had started downstream. The downstream speed of the boat is
MEDIUM
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IMPORTANT
Two boats go downstream from point X to point Y. The faster boat covers the distance from X to Y times as fast as the slower boat. It is known that for every hour the slower boat lags behind the faster boat by km. However, if they go upstream, then the faster boat covers the distance from Y to X in half the time as the slower boat. Find the speed of the faster boat in still water.
MEDIUM
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IMPORTANT
At the ancient Athens Olympic games, in a duel between two runners, Portheus and Morpheus, they were made to start running in opposite direction from diametrically opposite ends of a circular race track of length (circumference) kms. The first time they met was after minutes. If the distance between them exactly 'n' minutes after they start is equal to a quarter of the length of the track, which of the following is a possible value of 'n'?
MEDIUM
CAT
IMPORTANT
Aman and Biman started a walkathon around a circular track starting from the same point on the track in opposite directions. They met for the first after time 't'. Had they walked in the same direction with their speeds intact, they would have met after a time '. It was also observed that Aman was slower than Biman, and Aman's speed was measured at kmph. Find the speed of Biman.
EASY
CAT
IMPORTANT
Abhishek and Aiswarya start from two opposite ends of a tunnel AB, which is meters in length. Abhishek starts from A and Aiswarya starts from B. After they meet, they continue moving in their respective directions, till one of them reaches his end point and immediately reverses direction and starts walking back towards the other end. The ratio of their speeds is . At what distance (in metres) from A will they meet when Abhishek is in his round?
EASY
CAT
IMPORTANT
Abhishek and Aiswarya start from two opposite ends of a tunnel AB, which is meters in length. Abhishek starts from A and Aiswarya starts from B. After they meet, they continue moving in their respective directions, till one of them reaches his end point and immediately reverses direction and starts walking back towards the other end. The ratio of their speeds is . At what distance (in metres) from A will they meet when Abhishek is in his round? (a) 126 (b) 118 (d) They would not meet. (c) 91
EASY
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IMPORTANT
Two runners Portheus and Zeus, are running around a circular track at different speeds such that they meet after regular time intervals. The length of the track (circumference) is meters. If they run in opposite directions, they meet at eight different points while if they run in the same direction it is observed that they meet at distinct points on the circular track. If they meet at intervals of minutes when they run in the same direction, how much time does the faster runner (Portheus) take to complete one round?
EASY
CAT
IMPORTANT
At the Vijayantkhand Mini Stadium there are two circular race tracks A with radii and B respectively such that they touch each other at a point X. The coach Vijay Sir has a particular ritual with his best athletes Mridul and Odeon. Mridul runs at a speed of 800 pi m/min on Race Track A and Odeon runs at a speed of 40 pi m/min along the Race Track B. Both of them start from the point X and run multiple rounds. If Mridul gives Odeon a start of mins exactly before he starts running himself, after how much time in minutes) will the straight line distance between the two be exactly m?
