Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes, What is the length of the train ?

This question was previously asked in
UPSC Civil Services Exam (Prelims) 2010
View all UPSC Civil Services Papers >
  1. 250 m
  2. 500 m
  3. 1000 m
  4. 1500 m

Answer (Detailed Solution Below)

Option 2 : 500 m
Free
Revise Complete Modern History in Minutes
33.6 K Users
10 Questions 20 Marks 12 Mins

Detailed Solution

Download Solution PDF

Given:

Speed is 60 km per hour,

Train passed through a 1.5 km long tunnel in two minutes

Formula used:

Distance = Speed × Time

Calculation:

Let the length of the train be L

According to the question,

Total distance = 1500 m + L

Speed = 60(5/18)

⇒ 50/3 m/sec

Time = 2 × 60 = 120 sec

⇒ 1500 + L = (50/3)× 120

⇒ L = 2000 - 1500

⇒ L = 500 m

∴ The length of the train is 500 m.

Latest UPSC Civil Services Updates

Last updated on Jun 20, 2025

-> UPSC Launched PRATIBHA Setu Portal to connect aspirants who did not make it to the final merit list of various UPSC Exams, with top-tier employers.

-> Check Fastag Annual Pass 2025 New rules Rs. 3000 for 200 highway trips per year announced by the nitin Kadgari.

-> Candidates who have cleared the Prelims can now fill the UPSC DAF 1 2025 form for the Mains examination on the official website.

-> Candidates can check out the Daily Headlines for 20th June UPSC Current Affairs.

-> The UPSC CSE and IFS result has been released @upsc.gov.in on 11 June, 2025. Check UPSC Prelims Result 2025, UPSC IFS Result 2025 

-> UPSC Launches New Online Portal upsconline.nic.in. Check OTR Registration Process.

-> Check UPSC Prelims 2025 Exam Analysis and UPSC Prelims 2025 Question Paper for GS Paper 1 & CSAT.

-> UPSC Exam Calendar 2026. UPSC CSE 2026 Notification will be released on 14 January, 2026. 

-> Calculate your Prelims score using the UPSC Marks Calculator.

-> Go through the UPSC Previous Year Papers and UPSC Civil Services Test Series to enhance your preparation.

-> PM Kisan 20th Installment Date 2025: Beneficiary Status & List, Check eKYC Process

More Problem on Trains Questions

More Speed Time and Distance Questions

Get Free Access Now
Hot Links: teen patti gold real cash teen patti master download teen patti bonus