Question : A 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 chasing in another van, at a speed of 76 km/h. At what time will he catch the thief?
Option 1: 7:30 a.m.
Option 2: 7:00 p.m.
Option 3: 7:00 a.m.
Option 4: 6:00 a.m.
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Correct Answer: 7:00 a.m.
Solution :
Speed of thief = 57 km/h
Speed of the owner = 76 km/h
Relative speed with both going in the same direction = 76 – 57 = 19 km/h
Distance travelled by the thief in 1 hour = 57 km
Time the owner needs to cover that distance = $\frac{57}{19}$ = 3 hours
The owner started at 4:00 a.m.
The thief was caught at 4 + 3 = 7:00 a.m.
Hence, the correct answer is 7:00 a.m.
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