A thief steals a car at 3:30 p.m. and drives it at 80 km/h. The theft is discovered at 4:00 p.m. and the owner sets off in another car at 90 km/h. When will he catch the thief?

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SSC GD Constable (2022) Official Paper (Held On : 11 Jan 2023 Shift 3)
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  1. 8:00 p.m. 
  2. 8:30 p.m. 
  3. 7:30 p.m.
  4. 7:00 p.m.

Answer (Detailed Solution Below)

Option 1 : 8:00 p.m. 
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Detailed Solution

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Given:

Thief speed = 80 km/h, Owner speed = 90 km/h, Time difference = 0.5 hours

Formula used:

Time = Distance/Speed

Calculations:

Distance covered by thief in 0.5 hours = 80 × 0.5 = 40 km

Relative speed of owner to thief = 90 - 80 = 10 km/h

Time to catch = 40/10 = 4 hours

Therefore, the owner will catch the thief at 8:00 p.m.

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