13
Q:

# A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform ?

 A) 500 B) 400 C) 360 D) 480

Explanation:

Speed of train 1 = 48 kmph
Let the length of train 1 = 2x meter

Speed of train 2 = 42 kmph
Length of train 2 = x meter (because it is half of train 1's length)

Distance = 2x + x = 3x
Relative speed= 48+42 = 90 kmph = (90*5/18)  m/s = 25 m/s

Time = 12 s

Distance/time = speed

=>3x/12 = 25$\inline \fn_jvn \Rightarrow$ (25*12)/3

Length of the first train = 2x = 200 meter
Time taken to cross the platform= 45 s

Speed of train 1 = 48 kmph = 480/36 = 40/3 m/s

Distance = 200 + y     [where y is the length of the platform]

x =100m => 200+y = 45* 40/3
$\inline \fn_jvn \Rightarrow$y = 400m

Q:

A train starts from a place A at 8:00 a.m. and arrives at another place B at 1:30 p.m. on the same day. If the speed of the train is 30 km/hr, then what will be the distance (in km) covered by the train?

 A) 165 B) 175 C) 150 D) 135

Explanation:

0 269
Q:

A train travelling at the speed of 66 kmph crosses a 300 m long platform in 24 seconds. How long was the train?

 A) 140 m B) 240 m C) 160 m D) 180 m

Explanation:

3 365
Q:

The distance between two cities X and Y is 270 km. First train starts from X at 7:00 a.m. and travels towards Y at 40 km/hr. Second train starts from Y at 8:30 a.m. and travels towards X at 30 km/hr. At what time (in a.m.) will both the trains meet?

 A) 10:00 B)  11:00 C)  11:30 D)  12:30

Explanation:

3 273
Q:

Two trains are moving in the same direction at the speed of 23 km/hr and 77 km/hr. The time taken by faster train to cross a man sitting in the slower train is 40 seconds. What will be the length (in metres) of the faster train?

 A) 720 B) 640 C) 600 D) 540

Explanation:

3 268
Q:

A man misses a train by 1 hour if he travels at a speed of 4 kmph. If he had increased his speed to 5 kmph, he would gave still missed the train by 24 minutes. At what speed should he have travelled so that he reached the station exactly on time?

 A) 12 kmph B) 6 kmph C) 10 kmph D) 8 kmph

Explanation:

5 262
Q:

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be

 A) 280 km B) 105 km C) 70 km D) 140 km

Explanation:

1 298
Q:

A train runs at 80 kmph for the first 40 km and the next 30 km at 60 kmph. Find the average speed.

 A) 62 kmph B) 64 kmph C) 65 kmph D) 70 kmph

Explanation:

2 287
Q:

A train crossed a 140 m long platform in 15 seconds and a 180 m long platform in 17 seconds. The speed of the train was

 A) 75 kmph B) 72 kmph C) 69 kmph D) 66 kmph