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Earn 100
A pedestrian left point A for a walk, going with the speed of km/h. When the pedestrian was at a distance of km from A, a cyclist followed him, starting from A and cycling at a speed km/h higher than that of the pedestrian. When the cyclist overtook the pedestrian, they turned back and returned to A together, at the speed of km/h. At what v will the time spent by the pedestrian on his total journey from A to A be the least?
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Important Questions on Time, Speed and Distance
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A cyclist left point A for point B and travelled at the constant speed of km/h. When he covered the distance of km, he was overtaken by a car that left point A twelve minutes after the cyclist and travelled at a constant speed too. When the cyclist travelled another km, he encountered the car re- turning from B. Assume that the car did not stop at point B. Find the distance between A and B.
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A robot began moving from point A in a straight line at p.m. with an initial speed of m/s. One second later, the speed of the robot became equal to m/s. Find the acceleration of the robot at the end of the nd second if its speed changes by the law .
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A robot began moving from point A in a straight line at 6 p.m. with an initial speed of 3 m/s. One second later, the speed of the robot became equal to 4 m/s. Assume that for every second the robot travels at a constant speed equal to its starting speed for that second and any acceleration occurs at the start of the next second. Find distance of the robot from point A after 6 seconds.
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On the banks of the river Ganges there are two bathing points in Varanasi and Patna. A diya left in the river at Varanasi reaches Patna in hours. However, a motorboat covers the whole way to and fro in exactly hours. If the speed of the motorboat in still water is increased by , then it takes the motorboat hours to cover the same way (from Varanasi to Patna and back again). Find the time necessary for the motorboat to sail from Varanasi to Patna when its speed in still water is not increased.
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Two cars left points A and B simultaneously, travelling towards each other. hours after their meeting the car travelling from A arrived at B, and hours after their meeting, the car travelling from B arrived at A. How many hours did it take the slower car to cover the whole distance?
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A pedestrian and a cyclist left Nagpur for Buti Bori at the same time. Having reached Buti Bori, the cyclist turned back and met the pedestrian an hour after the start. After their meeting, the pedestrian continued his trip to Buti Bori and the cyclist turned back and also headed for Buti Bori. Having reached Buti Bori, the cyclist turned back again and met the pedestrian mins after their first meeting. Determine at what time it takes the pedestrian to cover the distance between Nagpur and Buti Bori.
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Two people started simultaneously from points A and B towards each other. At the moment the person who started from A had covered two-thirds of the way, the other person had covered km less than half the total distance. If it is known that when the person who Started from Bhad covered of the way, the other person was km short of the mid point. Find the distance between A and B. The speeds of the two people were constant.
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Sohan and Lallan left their house simultaneously, Thirty six minutes later, Sohan met his uncle travel ling to their house, while Lallan met the uncle twelve minutes after Sohan. Twenty four minutes after his meeting with Lallan, the uncle rang the door bell at Sohan and Lallan's house. Assume cach person travels at a constant speed. Find the ratio of the speeds of Sohan to Lallan to the uncle.
