Arithmatical - Problems on Trains
DIRECTIONS : Problems based on Trains.
11. |
A train 280 m long, running with a speed of 63 km/hr will pass a tree in |
|
A. 15 sec. |
|
B. 16 sec. |
|
C. 18 sec. |
|
D. 20 sec. |
Solution |
Speed | = (63 x 5/18) m/sec |
= 35/2 msec |
Time taken | = (280 x 2 /35)m/sec |
= 16 sec. |
|
12. |
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is ihe length of the train? |
|
A. 120 metres |
|
B. 180 metres |
|
C. 324 metres |
|
D. None of these |
Solution |
Speed | = (60 x 5/18) m/sec |
= (50 / 3) m/sec |
Length of the train | = (speed x Time ) |
= (50/3 x 9) m |
= 150 m. |
|
13. |
A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger? |
|
A. 3.6 sec |
|
B. 18 sec |
|
C. 36 sec |
|
D. 72 sec |
Solution |
Speed of train relative to jogger | = (45 - 9) km/hr |
= 36 km/hr |
= (36 x 5/18) m/sec |
= 10 m/sec |
Distance covered | = (240+120) m |
= 360 m |
Time taken | = (360 / 10)sec |
= 36 sec. |
|
14. |
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively Find the time taken by the slower train to pass the driver of the faster one. |
|
A. 12 sec |
|
B. 24 sec |
|
C. 48 sec |
|
D. 60 sec |
Solution |
Relative speed | = (45 + 30 )km/hr |
= (75 x 5/18)m/sec |
=(125 / 6) m/sec |
Total Distance covered | = (500 + 500) m |
= 1000 m |
Required time | = (1000 x 6 /125)sec |
= 48 sec |
|
15. |
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the Length of the other train? |
|
A. 230 m |
|
B. 240 m |
|
C. 260 m |
|
D. 320 m |
Solution |
Relative Speed | = (120 + 80)km/hr |
= (200 x 5/18)m/sec |
= (500 / 9)m/sec |
Let the length of the other train be x metres |
Then, x + 270 / 9 |
x + 270 = 500 |
x = 230. |
|