Question
Download Solution PDFA thief running at 7 km/h is chased by a policeman whose speed is 12 km/h. If the thief is 280 m ahead of the policeman, then the time required for the policeman to catch the thief will be:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of the thief = 7 km/h
Speed of the policeman = 12 km/h
Distance between the thief and the policeman = 280 m
Concept:
Relative speed is the difference in speeds when two objects move in the same direction.
Formula used:
Time = Distance / Relative Speed
Calculation:
Convert distance into km:
⇒ 280 m = 280/1000 km = 0.28 km
Calculate relative speed:
⇒ Relative Speed = 12 km/h - 7 km/h = 5 km/h
Calculate time required to catch the thief:
⇒ Time = Distance / Relative Speed
⇒ Time = 0.28 km / 5 km/h
⇒ Time = 0.056 hours
Convert time into minutes:
⇒ Time = 0.056 × 60 minutes
⇒ Time = 3.36 minutes
Convert decimal minutes into fraction:
⇒ Time = 3 (9/25) minutes
∴ The time required for the policeman to catch the thief is 3 (9/25) minutes.
Last updated on Jun 17, 2025
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