arrow
arrow
arrow
Two trains are moving in opposite directions at speeds of 110 km/hr and 150 km/hr. The length of one train is 500 m. The time taken by them to cross e
Question

Two trains are moving in opposite directions at speeds of 110 km/hr and 150 km/hr. The length of one train is 500 m. The time taken by them to cross each other is 10 seconds. The length (in m) of the other train, correct to 2 decimal places, is:

A.

225.93

B.

233.21

C.

228.02

D.

222.22

Correct option is D

Given
Speed of first train = 110 km/hr
Speed of second train = 150 km/hr
Length of one train = 500 m
Time taken to cross = 10 seconds
Formula Used
Relative Speed = Speed 1 + Speed 2 (for opposite directions)
Distance = Relative Speed × Time
Solution
Relative speed = 110 + 150 = 260 km/hr
Convert into m/s = 260 × 518=130018=6509\frac{5}{18} = \frac{1300}{18} = \frac{650}{9}​ m/s
Total distance covered to cross each other = Length of first train + Length of second train
Distance = Speed × Time
Total distance = 6509×10=65009 \frac{650}{9} × 10 = \frac{6500}{9}​ m
Total distance = 722.22 m
Length of the other train = Total distance - Length of first train
Length of other train = 722.22 - 500 = 222.22 m
Final Answer
So the correct answer is (d)

Free Tests

Free
Must Attempt

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB Group D Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘RRB Group D’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
530k+ students have already unlocked exclusive benefits with Test Prime!

Similar Questions

Our Plans
Monthsup-arrow