Question: 11 -

The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train? 

55 Kmph

78 Kmph

68 Kmph

58 Kmph

Answer:

68 Kmph

Solution:

Length of the two trains = 600m + 400m 

Speed of the first train = X

Speed of the second train= 48 Kmph 

1000/X - 48 = 180

1000/x - 48 * 5/18 = 180

50 = 9X - 120

X = 68 Kmph 

Question: 12 -

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is: 

130 m

100 m

125 m

150 m

Answer:

150 m

Solution:

Let the length of the train be x meters and its speed be y m/sec.

They, x / y = 15 => y = x/15 

x + 100 / 25 = x / 15 

 x = 150 m. 

Question: 13 -

A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?

75 Kmph

70 Kmph

65 Kmph

72 Kmph

Answer:

72 Kmph

Solution:

Length = Speed * time

Speed = L/T 

S = 400/20

S = 20 M/Sec 

Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)

Speed = 72 Kmph

Question: 14 -

A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? 

160 m

150 m

155 m

165 m

Answer:

150 m

Solution:

Length of the train be 'X'

X + 150/15 = X + 250/20

4X + 600 = 3X + 750

X = 150m 

Question: 15 -

A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train? 

180 m

175 m

185 m

170 m

Answer:

180 m

Solution:

Length of the train be 'X'

X + 120/15 = X + 180/18

6X + 720 = 5X + 900

X = 180m