EASY
CAT
IMPORTANT
Earn 100
Jaideep travels from Alaska, which is on a highway, to Burgen, which is 16 km from the highway. The distance between Alaska and Burgen along a straight line is . At what point should Jaideep turn from the highway to reach Burgen in the shortest possible time, if his speed along the highway is and otherwise.
50% studentsanswered this correctly
Important Questions on Time, Speed and Distance
MEDIUM
CAT
IMPORTANT
An object begins moving at a time moment and after the beginning of the motion, attains the acceleration of . Find the distance covered by the object if the initial velocity of the second object is the same as the final velocity of the first object and it slows down at a rate of for . What is the distance covered by the second object while it is decelerating?
EASY
CAT
IMPORTANT
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?
EASY
CAT
IMPORTANT
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.
EASY
CAT
IMPORTANT
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 .
EASY
CAT
IMPORTANT
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.
EASY
CAT
IMPORTANT
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.
EASY
CAT
IMPORTANT
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?
EASY
CAT
IMPORTANT
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.
