Length of the train = (Speed x Time) =50/3 x 9 m = 150 m.
Workspace
NA
SHSTTON
104
Solv. Corr.
121
Solv. In. Corr.
225
Attempted
0 M:0 S
Avg. Time
2 / 13
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Two trains 400m and 300m long run at the speeds of 50 kmph and 40kmph respectively in opposite Directions on parallel tracks. The time taken to cross each other?
Trains are running in opposite Direction:
So need to find Length of two Trains = 300m + 400m = 700m
and Total Speed = 40 Kmph + 50 Kmph (Opposite Direction)
= 90 Kmph
so speed (m/sec) = 90 * 5/18 m/sec = 25 m/sec
Formula Used: Time = Distance/Speed
Time = 700/ 25 sec
Time = 28 Sec
Workspace
NA
SHSTTON
60
Solv. Corr.
79
Solv. In. Corr.
139
Attempted
1 M:53 S
Avg. Time
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A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 19 and 20 seconds respectively. The length of the train is:
Convert the persons Speed in m/sec
2 kmph = (2 x 5/18) m/sec = 5/9 m/sec.
4 kmph = (4 x 5/18 m/sec = 10/9 m/sec.
Let the length of the train be x meters and its speed by y m/sec.
Relative speed in respect to both person (y - 5/9) and (y - 10/9)
Formula Used: Time = Distance / speed
so x / (y - 5/9) = 19 ---- (1)
and x / (y - 10/9) = 20 ---- (2)
9x = 19 (9y - 5) ----- (1)
9x = 20 (9y - 10) ------(2)
find the value of x and y
19 (9y - 5) = 20(9y - 10)
171 y - 95 = 180 y -200 => 9y = 105 => y = 105/9 = 35/3
Now find the value fo x by above any equations
9x = 171 *35/3 - 95 = 57 *35 - 95
9x = 1900 => x = 211.1 meter
Workspace
NA
SHSTTON
81
Solv. Corr.
83
Solv. In. Corr.
164
Attempted
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Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Distance covered by B in (x - 1) hours = 25(x - 1) km.
So Total Distance
=> 20x + 25(x - 1) = 110
=> 45x - 25 = 110 => 45x = 135
=> x = 3.
As They meet x hrs after 7 a.m. so they meet at 10 a.m.
Workspace
NA
SHSTTON
84
Solv. Corr.
73
Solv. In. Corr.
157
Attempted
4 M:50 S
Avg. Time
5 / 13
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Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
As train are running in same direction
so Relative speed = (40 - 20) km/hr = 20 km/hr
= ( 20 x 5/18 ) m/sec = 50/9 m/sec.
Formula Used: Distance = Speed * Time
Now Length of Faster Train = ( 50/9 x 5 ) m = 250/9 m
= 27 7/9 m
Workspace
NA
SHSTTON
26
Solv. Corr.
57
Solv. In. Corr.
83
Attempted
0 M:0 S
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6 / 13
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A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
The two trains of lengths 400m, 600m respectively, running at same directions. The faster train can Cross the slower train in 180sec, the speed of the slower train is 48km. then find the speed of the Faster train?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Formula for converting from km/hr to m/s: X km/hr = X *( 5/18) m/s.
so Speed = 45 * 5/18 m/sec = 25/2 m/sec.
Total distance to be covered = (360 + 140) m = 500 m.
Required time = 500 * 2/25 sec = 40 sec.
Workspace
NA
SHSTTON
9
Solv. Corr.
21
Solv. In. Corr.
30
Attempted
0 M:0 S
Avg. Time
10 / 13
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A train running at certain speed crosses a stationary engine in 20 seconds. To find out the speed of the train, which of the following information is necessary?
AOnly the length of the train
BOnly the length of the engine
CEither the length of the train or the length of the engine
DBoth the length of the train and the length of the engine
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