Train A leaves the station with uniform speed at a certain time. After 2 hours, train B leaves the station and moves in the same direction with uniform speed of 75 km/h. Train B crosses train A in 4 hours. The relative speed of the two trains is:

This question was previously asked in
DDA JE Civil 01 Apr 2023 Shift 2 Official Paper
View all DDA JE Papers >
  1. 20 km/h
  2. 35 km/h
  3. 25 km/h
  4. 30 km/h

Answer (Detailed Solution Below)

Option 3 : 25 km/h
Free
DDA JE Civil Full Mock Test
7.2 K Users
120 Questions 120 Marks 120 Mins

Detailed Solution

Download Solution PDF

Concept used:

Speed = Distance/Time

Calculation:

Let's assume that the speed of train A = x km/hr

Now, for the 1st 2 hours, the train travelled 2x km

Now, train B moves in same direction speed of 75 km/hr, so relative speed of train A and B is = (75 - x)

Now, according to the question,

(75 - x) × 4 = 2x

⇒ 300 - 4x = 2x

⇒ 6x = 300

⇒ x = 50

So, speed of train A = 50 km/hr, then relative speed of train A and B is (75 - 50) = 25 km/hr

∴ The correct answer is 25 km/hr

 
Latest DDA JE Updates

Last updated on May 28, 2025

-> The DDA JE Recruitment 2025 Notification will be released soon.

-> A total of 1383 vacancies are expected to be announced through DDA recruitment.

-> Candidates who want a final selection should refer to the DDA JE Previous Year Papers to analyze the pattern of the exam and improve their preparation.

-> The candidates must take the DDA JE Electrical/Mechanical mock tests or DDA JE Civil Mock tests as per their subject.

More Relative Speed Questions

More Speed Time and Distance Questions

Get Free Access Now
Hot Links: teen patti rummy teen patti master king teen patti royal - 3 patti teen patti master 2023