Arithmatical - Problems on Trains
DIRECTIONS : Problems based on Trains.
26. |
A speed of 14 metres per second is the same as |
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A. 28 km.hr |
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B. 46.6 km/hr |
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C. 50.4 km/hr |
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D. 70 km/hr |
Solution |
Speed | = 14 m / sec |
=(14 x 18 / 5)km/hr |
= 50.4 km/hr |
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27. |
A train travelling at a speed of 75 mph enters a tunnel 3 1/2 miles long. The train is 1/4
mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges? |
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A. 2.5 min |
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B. 3 min |
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C. 3.2 min |
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D. 3.5 min |
Solution |
Total distance covered | = (7/2 + 1/4) miles |
= 15 / 4 miles |
= (18 x 5 /18) km/hr |
Time taken | = (15 / 4 x 75) hrs |
= 1 /20 hrs |
= (1 / 20 x 60) |
= 3 min. |
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28. |
A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? |
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A. 320 m |
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B. 350 m |
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C. 650 m |
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D. None of these |
Solution |
Speed | = (300 / 18) m/sec |
= (50 / 3) m/sec. |
Length of the platform be x metres. |
Then | = x + 300 /39 |
= 50 / 3 m/sec |
= 3 (x + 300) =1950 . |
= 350 m |
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29. |
A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is |
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A. 70 m |
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B. 80 m |
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C. 90 m |
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D. 100 m |
Solution |
Let the length of the train be x metres. |
= x + 162 / 18 |
= x + 120 / 15 |
= 15( x+162) |
= 18(x+120) |
x= 90. |
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