Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time, Speed and Distance

Question:

Two train 120 m and 130 m long are running in same direction on a parallel track at the speed of 55 km/hr and 35 km/hr respectively. How long the faster train will take to cross the slower train?

Options:

10 Sec

25 Sec

40 Sec

45 Sec

Correct Answer:

45 Sec

Explanation:

To cross the train, total distance to be traveled = Sum of length of trains

Distance = 120 + 130 = 250 m

Relative speed in same direction = S1 - S2 = 55 - 35 = 20 km/hr = 20 × \(\frac{5}{18}\) m/sec

⇒ Time to cross the slower train = \(\frac{Distance}{Relative\;Speed}\)

                                               = \(\frac{250\;×\;18}{20\;×\;5}\)

                                               = 45 Sec.