Question
Download Solution PDFA policeman follows a thief who is 600 m ahead of the policeman. If the policeman and the thief run at speeds of 10 km/h and 8 km/h, respectively, in how much time (in minutes), will the policeman catch the thief?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance between policeman and thief = 600 m
Speed of policeman = 10 km/h
Speed of thief = 8 km/h
Formula used:
Distance = relative speed × time
Calculation:
Distance = relative speed × time
⇒ 600 = (10 - 8) × (5/18) × time
⇒ Time = (600 × 18)/(2 × 5)
⇒ Time = (60 × 18) = 1080 sec
⇒ Time = 1080 sec. = 1080/60 = 18 minutes
∴ The correct answer is 18 minutes.
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