Question
Download Solution PDFA thief steals a van at 3 : 00 a.m. and drives it at a speed of 57 km/h. The thief is discovered at 4 : 00 a.m. and the owner starts the chase with another van at a speed of 76 km/h. At what time will he catch the thief?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
A thief steals a van at 3 : 00 a.m. and drives it at a speed of 57 km/h.
Formula
Time = Distance/Speed
Calculation
Speed of the car of the thief = 57 km/h
Since the robbery was discovered at 4:00 am
Distance travelled by the thief in 1 hour (4 - 3) = speed × time = 57 × 1 = 57 km
Speed of the owner of the car = 76 km/h
So, relative speed of the owner = (76 - 57) km/h = 19 km/h
∴ time taken to cover 57 km by the owner = 57/19 h = 3 hour
Time by watch = 4:00 am + 3 h = 7 : 00 am
∴ The owner will overtake the thief at 7:00 am.Last updated on Jul 8, 2025
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