Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time, Speed and Distance

Question:

How long will a train 100 m long and travelling at a speed of 45 kmph, take to cross a platform of length 150 m?

 

Options:

20 sec

29 sec

27 sec

Cannot be determined

Correct Answer:

20 sec

Explanation:

Speed = \(\frac{ Distance}{ Time}\)

Speed of train in m/s = 45 x \(\frac{ 5}{18 }\) = \(\frac{ 25}{2 }\) m/s

Putting values in the formulae:

 \(\frac{ 25}{2 }\) = \(\frac{100 + 150}{ Time}\)

Time = \(\frac{\text{250 Χ 2}}{ 25}\)

Time = \(\frac{\text{500}}{ 25}\)

Time = 20 seconds