Arithmatical - Problems on Trains
DIRECTIONS : Problems based on Trains.
16. |
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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17. |
A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train |
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A. 70 km/hr |
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B. 72 km/hr |
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C. 79.2 km/hr |
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D. 80 km/hr |
Solution |
Speed | = (132 / 6) m/sec |
= (22 x 18 /5)km/hr |
= 79.2 km/hr |
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18. |
A train 240 m long passed a pole in 24 seconds. How long will it take to pass a platform 650 m long? |
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A. 65 sec |
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B. 89 sec |
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C. 100 sec |
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D. 150 sec |
Solution |
Speed | = (240 / 24) m/sec |
= 10 m/sec |
Required time | = (240 + 650/10) sec |
= 89 sec. |
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19. |
A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr ? |
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A. 13 33 |
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B. 26.67 |
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C. 40 |
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D. 66.67 |
Solution |
speed | =(150 + 300 / 40.5)m/sec |
=(450/40.5x18/ 5) km/hr |
= 40 km/hr |
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20. |
In what time will a train 100 metres lomg cross an electric pole, if its speed be 144 km/hr? |
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A. 2.5 seconds |
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B. 4.25 seconds |
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C. 5 seconds |
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D. 12.5 seconds |
Solution |
Speed | = (144 x 5 / 18)m/sec |
Time taken | = (100 /40 ) sec |
= 2.5 sec |
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