Question

Tejas express traveling at 60 kmph crosses Air India express traveling in the same direction at 24 kmph in 47 seconds. What is the combined length of both the trains?​

Answer 1

Step-by-step explanation:

Let the length of the train be 'x' m

Length of the platform =2x m

Total distance traveled by the train =x+2x=3x m

Speed of the train =60 kmph=60×

18

5

m/sec

Distance = Speed × Time

3x=60×

18

5

×32.4

x=180 m

∴ The length of the platform =2x=2×180=360 m

HOPE IT IS HELP YOU

Answer 2

Given:

Tejas express traveling in a direction at 60 kmph.

Air India express traveling in the same direction at 24 kmph in 47 seconds.

To find :

The combined length of both the trains.

Formula to be used:

Distance = Speed × Time

Solution:

Step 1 of 2:

Speed of Tejas express is 60 kmph.

To convert it into m/sec , multiply it with  $\frac{1000}{3600}$

Speed of Tejas express = 60 × $\frac{1000}{3600}$

Speed of Tejas express = $\frac{50}{3}$ m/sec

Speed of Air India express is 24 kmph.

Speed of Air India express = 24 × $\frac{1000}{3600}$

Speed of Air India express = $\frac{20}{3}$ m/sec

Step 2 of 2:

The relative speed = Difference between the speed of two trains

The relative speed = $\frac{50}{3} - \frac{20}{3}$

The relative speed = $\frac{30}{3}$

The relative speed = 10 m/sec

Time taken by Tejas express to cross Air India express is 47 seconds.

Distance = Speed × Time

Distance = 10 × 47

Distance = 470 m

Final answer:

The combined length of both the trains is 470m .