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A thief steals a car at 2:00 p.m. and drives it at 70 km per hour. The theft is discovered at 3:00 p.m. and the owner sets off in another car at 105 k
Question

A thief steals a car at 2:00 p.m. and drives it at 70 km per hour. The theft is discovered at 3:00 p.m. and the owner sets off in another car at 105 km an hour. At what time owner will overtake the thief?

A.

5:00 p.m

B.

3:45 p.m

C.

3:30 p.m

D.

4:30 p.m

Correct option is A

Given:
Speed of the thief = 70 km/h
Speed of the owner = 105 km/h
The time difference = 1 hour
Formula Used:
Relative speed = Speed of owner - Speed of thief
Time to overtake = Distance / Relative speed
Solution:
Distance covered by the thief in 1 hour = 70 km
Relative speed = 105 - 70 = 35 km/h
Time to overtake = 70 / 35 = 2 hours
Thus, the owner will overtake the thief at 5:00 p.m.

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