Arithmatical - Problems on Trains
DIRECTIONS : Problems based on Trains.
1. |
A train 100 m long is running at the speed of 30 km/hr. Find the time taken by it to pass a man standing near the railway line. |
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A. 10 sec. |
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B. 12 sec. |
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C. 14 sec. |
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D. 16 sec. |
Solution |
Speed of the train | = (30 x 5/18)m/sec |
= (25 / 3) m/sec. |
Distance moved in passing the standing man | = 100 m. |
Required time taken | = 100 /( 25 / 3) |
=(100 x 3 / 25) sec |
= 12 sec. |
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2. |
A man sitting in a train which is travelling at 50 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed? |
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A. 52 kmph. |
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B. 62 kmph. |
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C. 72 kmph. |
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D. 80 kmph. |
Solution |
Relative Speed | = (280 / 9)m/sec |
= (280/9 x 18/5) |
= 112 kmph. |
Speed of the train | = (112 - 50)kmph |
= 62 kmph. |
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3. |
A train 150 m long is running with a apecd of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going? |
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A. 6 sec. |
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B. 7 sec. |
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C. 9 sec. |
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D. 11 sec. |
Solution |
Speed of the train relative to man | =( 68 - 8 ) |
= 60 Kmph |
= 60 x 5 / 18 |
=50/3 m/sec. |
Time taken by it to cover 150 m at (50 /3)m/sec | = (112 - 50)kmph |
= (150 x 3/50)sec |
= 9 sec. |
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4. |
A train moves with a speed of 108 kmph. Its speed in metres per second is |
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A. 10.8 |
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B. 18 |
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C. 30 |
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D. 38.8 |
Solution |
Speed | = 108 Kmph |
= (108 x 5/18)m/sec |
= 30 m/sec. |
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5. |
Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. The length of the faster train is |
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A. 80 m |
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B. 100 m |
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C. 120 m |
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D. 180 m |
Solution |
Relative Speed | = (36 + 45) km/hr |
= (81 x 5/18) m/sec |
= (45/2) m/sec |
Length of the train | = (45 / 2 x 8) m |
= 180 m. |
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