Question : Two donkeys are standing 400 metres apart. The first donkey can run at a speed of 3 m/sec and the second can run at 2 m/sec. If two donkeys run towards each other, after how much time (in seconds) will they bump into each other?
Option 1: 60
Option 2: 80
Option 3: 400
Option 4: 40
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Correct Answer: 80
Solution : Here the distance between two donkeys = 400 metres. Speed of the first donkey = 3 m/sec. Speed of the second donkey = 2 m/sec. If both running in opposite directions relative speed = (3 + 2) = 5 m/sec. So, the time taken to bump into each other = $\frac{400}{5}=80$ sec. Hence, the correct answer is 80.
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Question : Vinay and Mahesh are 250 metres apart from each other. They are moving toward each other at speeds of 36 km/hr and 54 km/hr respectively. In how much time will they meet each other?
Option 1: 12 seconds
Option 2: 20 seconds
Option 3: 10 seconds
Option 4: 15 seconds
Question : Two trains whose lengths are 450 metres and 300 metres are moving toward each other at speeds of 162 km/hr and 108 km/hr respectively. If the distance between trains is 300 metres, then in how much time, these trains will cross each other?
Option 1: 14 seconds
Option 2: 35 seconds
Option 3: 28 seconds
Option 4: 21 seconds
Question : The thread of a kite makes an angle of 60° with the horizontal plane. If the length of the thread is 80 m, then the vertical height of the kite will be:
Option 1: $\frac{40}{\sqrt{3}}$ metres
Option 2: $\frac{80}{\sqrt{3}}$ metres
Option 3: $80$ metres
Option 4: $40\sqrt{3}$ metres
Question : A 100 metres long train is running at a speed of 120 km/h. The time taken to pass a person standing near the line is:
Option 1: 1 second
Option 2: 3 seconds
Option 3: 5 seconds
Option 4: 7 seconds
Question : A train 180 m long moving at a speed of 20 m/sec overtakes a man moving at a speed of 10 m/sec in the same direction. The train passes the man in:
Option 1: 6 sec
Option 2: 9 sec
Option 3: 18 sec
Option 4: 27 sec
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