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?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 7:00 a.m.
Given that
A thief steals a van at 3:00 a.m. and drives it at a speed of 57 km/h.
At 4:00 a.m., the owner starts the chase with another van at a speed of 76 km/h
According to the question
From 3:00 a.m. to 4:00 a.m., the distance covered by thief = 57 × 1 = 57 km
The relative speed of the thief and the owner in same direction = 76 - 57 = 19 km/h
Time to catch the thief = Distance/Relative speed = 57/19 = 3 hours
Hence, the time to catch the thief is 4 a.m + 3 = 7 a.m.