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Police started chasing a thief at 6 am while the theft was reported at 4 am. If the speed of police and thief was 77 km/h and 55 km/h respectively, find at what time the police caught the thief.

Police started chasing a thief at 6 am while the theft was reported at 4 am. If the speed of police and thief was 77 km/h and 55 km/h respectively, find at what time the police caught the thief. Correct Answer <span style=" line-height: 115%; ">11 am </span>

Given:

Speed of policeman = 77 km/h

Speed of thief = 55 km/h

Time of reporting = 4 am

Time at which police started chasing = 6 am

Formula Used:

Speed = Distance/Time

Concept Used:

If two objects are moving in the same direction with speeds S1 and S2,

Their relative speed is S1 – S2

Calculation:

There was a gap of 2 hours

Distance traveled by the thief in 2 hours = 55 × 2 = 110 km

Now, the police started chasing

Relative speed = 77 – 55 = 22 km/h

Time = 110/22 = 5 h

∴ Police caught the thief at 11 am.

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