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A boat is sent across a river with a velocity of 8 *km/hr.* If the resultant velocity of boat is 10 *km/hr, *then velocity of the river is :** **

(1) 10 *km/hr*

(2) 8 *km/hr*

(3) 6 *km/hr*

(4) 4 *km/hr*

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A boat moves with a speed of 5 *km/h* relative to water in a river flowing with a speed of 3 *km/h* and having a width of 1 *km.* The minimum time taken around a round trip is

(1) 5 min

(2) 60 min

(3) 20 min

(4) 30 min

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A river is flowing from W to E with a speed of 5 *m*/*min*. A man can swim in still water with a velocity 10 *m/min*. In which direction should the man swim so as to take the shortest possible path to go to the south.** **

(1) 30° with downstream

(2) 60° with downstream

(3) 120° with downstream

(4) South

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A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is

(1) East-north direction

(2) West-north direction

(3) South-east direction

(4) None of these

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Two cars are moving in the same direction with the same speed 30 *km/hr.* They are separated by a distance of 5 *km,* the speed of a car moving in the opposite direction if it meets these two cars at an interval of 4 minutes, will be

(1) 40* km/hr*

(2) 45* km/hr *

(3) 30* km/hr*

(4) 15 *km/hr *

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A man standing on a road hold his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 *km/hr.* He finds that raindrops are hitting his head vertically, the speed of raindrops with respect to the road will be

(1) 10 *km/hr*

(2) 20* km/hr *

(3) 30 *km/hr*

(4) 40* km/hr *

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A boat is moving with a velocity 3*i* + 4*j* with respect to ground. The water in the river is moving with a velocity – 3*i* – 4*j* with respect to ground. The relative velocity of the boat with respect to water is

(1) 8*j*

(2) – 6*i* – 8*j*

(3) 6*i* +*8j*

(4) $5\sqrt{2}$

PMT - 1998

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A 150 m long train is moving to north at a speed of 10 m/s. A parrot flying towards south with a speed of 5 m/s crosses the train. The time taken by the parrot the cross to train would be:

(1) 30 s

(2) 15 s

(3) 8 s

(4) 10 s

PMT - 1992

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