Time, Speed and Distance · UPSC CDS/OTA · Question 16 of 30

Time, Speed and Distance – Question 16

Step-by-step solution. Time, Speed and Distance for UPSC CDS/OTA.

Topic
Time, Speed and Distance
Subject
Mathematics
Difficulty
Medium
Solve Time
45–60 sec

Solved UPSC CDS/OTA Question

A solved UPSC CDS/OTA PYQ — decoded step-by-step.

Solve it the standard way once — then learn the shortcut.

Q · Time, Speed and DistanceMedium · 45s

2 Trains of length 100m and 80m run on parallel lines. The faster train passed the slower train in 18 seconds, when running the same direction, but passed each other in 9 se(c) when running in the opposite directions. Find the speeds of both the trains.

TopicTime, Speed and Distance
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained — no skipped algebra.

@Img@:https://digitalbenchersfiles.s₃.ap-south-1.amazonaws.com/1755002926925Screenshot%202025-08-12%20at%206.18.37%20PM.png :@Img@

Final Answer: Option C — 10 m/s, 5 m/s
Solve Question✦ Build Plan
Time, Speed and Distance Question 16 – UPSC CDS/OTA