Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time, Speed and Distance

Question:

Find the length of the bridge which a train 130 m long travelling at 45 kmph can cross in 30 seconds, is :

 

Options:

200 m

225 m

245 m

250 m

Correct Answer:

245 m

Explanation:

Speed = \(\frac{ Distance}{ Time}\)

Let the length of the bridge be x

45 x \(\frac{5 }{ 18}\) = \(\frac{ \text{130 + Length of the bridge}}{ 30}\)

\(\frac{25 }{ 2}\) = \(\frac{ \text{130 + x}}{ 30}\)

2(130 + x) = 30 x 25

260 + 2x = 750

2x = 490

x = 245 m