Time, Speed and Distance Question 5 - CAT 2020
A and B are two points on a straight line. Ram runs from A to B while Rahim runs from B to A. After crossing each other, Ram and Rahim reach their destination in one minute and four minutes, respectively. If they start at the same time, then the ratio of Ram’s speed to Rahim’s speed is:
Step-by-Step Explanation
Using the exact same Post-Meeting Speed Theorem as the previous question:
Sᴿᵃᵐ/Sᴿᵃʰⁱᵐ = √(tᴿᵃʰⁱᵐ/tᴿᵃᵐ)
We are given that after crossing, Ram takes 1 minute (tᴿᵃᵐ) and Rahim takes 4 minutes (tᴿᵃʰⁱᵐ) to finish their respective routes:
Sᴿᵃᵐ/Sᴿᵃʰⁱᵐ = √(4/1) = 2
The ratio of Ram's speed to Rahim's speed is 2.
Correct Option: B
💡 FundaMakers Tip:
Notice how CAT repeated this exact concept within the same exam slot structure! Whenever a question emphasizes the time taken after crossing paths, immediately locate the post-crossing times, swap their order, and take the square root to secure the answer.