10 Views

Question : Two trains of the same length are running on parallel tracks in the same direction at the speeds of 60 km/h and 90 km/h, respectively. The latter completely crosses the former in 30 seconds. The length of each train (in meters) is:

Option 1: 125

Option 2: 150

Option 3: 100

Option 4: 115


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: 125


Solution : Time taken to cross each other = $\frac{\text{Sum of the lengths of two trains}}{\text{Relative speed}}$
Let the length of each train be $x$ meters.
So, total length = $2x$ meters.
Speed of 1st train = 30 km/h
Speed of 2nd train = 45 km/h
Relative speed = 45 – 30 = 15 km/h
Converting this into m/sec,
⇒ $\frac{5}{18}×15=\frac{25}{6}$ m/sec.
Time taken by the 2nd train to cross the 1st train completely = 60 seconds.
Total length = time × relative speed.
⇒ $2x=60×\frac{25}{6}$
⇒ $x=5×25$ = 125 meters.
Hence, the correct answer is 125.

How to crack SSC CHSL

Candidates can download this e-book to give a boost to thier preparation.

Download Now

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books