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 the chase with another van at a speed of 76 km/h. At what time will he catch the thief?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 2)
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  1. 7 : 30 a.m.
  2. 7 : 00 p.m.
  3. 7 : 00 a.m.
  4. 6 : 00 a.m.

Answer (Detailed Solution Below)

Option 3 : 7 : 00 a.m.
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Detailed Solution

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Given

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.
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