Question : 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 chasing in another van, at a speed of 76 km/h. At what time will he catch the thief?
Option 1: 7:30 a.m.
Option 2: 7:00 p.m.
Option 3: 7:00 a.m.
Option 4: 6:00 a.m.
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Correct Answer: 7:00 a.m.
Solution : Speed of thief = 57 km/h Speed of the owner = 76 km/h Relative speed with both going in the same direction = 76 – 57 = 19 km/h Distance travelled by the thief in 1 hour = 57 km Time the owner needs to cover that distance = $\frac{57}{19}$ = 3 hours The owner started at 4:00 a.m. The thief was caught at 4 + 3 = 7:00 a.m. Hence, the correct answer is 7:00 a.m.
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Question : Two people, A and B, are at a distance of 260 km from each other at 9:00 a.m. A immediately starts moving towards B at a speed of 25 km/hr and at 11:00 a.m., B starts moving towards A at a speed of 10 km/hr. At what time (in p.m.) will they meet each other?
Question : A thief stole jewelry from a shop at 8:15 p.m. and left on a bike at a speed of 60 km/hr. The police were informed at 8:30 p.m. If the police want to arrest the thief at 9:00 p.m., what should be the minimum speed of the police jeep?
Question : A policeman saw a thief at a distance of 400 m. The thief started running at a speed of 10 km/h and the policeman chased him at 12 km/h in the same direction. At what distance from the starting point will the policeman catch the thief?
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