Target Exam

CUET

Subject

General Aptitude Test

Chapter

Numerical Ability

Topic

Time, Speed and Distance

Question:

Two trains of equal length are running from the same origin on parallel tracks in the same direction, at the speeds of 58 km/hr and 73 km/hr, respectively. The faster train passes the other train in 144 seconds. What is the length (in meters) of each train?

Options:

344 m

262 m

300 m

240 m

Correct Answer:

300 m

Explanation:

The correct answer is Option (3) → 300 m

Relative speed of the trains
$=73 - 58 = 15$ km/h

Convert into m/s:

$15 \times \frac{1000}{3600} = \frac{25}{6}\ \text{m/s}$

Time taken = 144 s

Distance covered (sum of lengths of both trains):

$\frac{25}{6} \times 144 = 600\ \text{m}$

Since the trains are of equal length,

$2L = 600 \Rightarrow L = 300\ \text{m}$