Time, Speed and Distance Question 3 - CAT 2022
Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take 1.5 hours if they travel towards each other, but 10.5 hours if they travel in the same direction. If the speed of the slower car is 60 km/hr, then the distance traveled, in km, by the slower car when it meets the other car while traveling towards each other, is:
Step-by-Step Explanation
The problem contains redundant details designed to slow you down. Let us isolate exactly what the question asks for: "the distance traveled, in km, by the slower car when it meets the other car while traveling towards each other".
We are given:
- The speed of the slower car = 60 km/h.
- The time they take to meet when traveling towards each other = 1.5 hours.
Since the slower car travels continuously at 60 km/h for 1.5 hours until the meeting occurs:
Distance = Speed × Time
Distance = 60 km/h × 1.5 hours = 90 km
Correct Option: B
💡 FundaMakers Tip:
Always read the final line of the question first! CAT questions sometimes include extra data—like the 10.5-hour same-direction journey time—to tempt you into setting up unnecessary relative speed equations. Identifying what is actually needed to answer the question saves valuable time.