Question : A policeman spots a thief at a distance of 200 m and starts chasing him. While the policeman runs at a speed of 9 km/hr, the thief runs at a speed of 7 km/hr. After how long will the policeman catch the thief?
Option 1: 6 minutes
Option 2: 3 minutes
Option 3: 10 minutes
Option 4: 5 minutes
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Correct Answer: 6 minutes
Solution : Relative speed of policeman = Speed of the policeman - Speed of the thief = 9 km/hr – 7 km/hr = 2 km/hr The policeman has to cover a relative distance of 200 m (0.2 Km) to catch the thief. So, Time = $\frac{\text{distance}}{\text{speed}}$ = $\frac{0.2}{2}$ = 0.1 hours = 0.1 × 60 minutes = 6 minutes Hence, the correct answer is 6 minutes
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Question : A thief is noticed by a policeman from a distance of 150 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 8 km/hr and 10 km/hr respectively. At what distance will the policeman catch the thief?
Option 1: 1000 metres
Option 2: 850 metres
Option 3: 500 metres
Option 4: 750 metres
Question : A person walks 10 km at a speed of 2.5 km/hr, then runs 10 km at a speed of 5 km/hr and then goes 30 km by bus at the speed of 30 km/hr. What is the average speed of the man?
Option 1: 9 km/hr
Option 2: 8.25 km/hr
Option 3: 7.14 km/hr
Option 4: 7 km/hr
Question : A man covers half part of a certain distance at 15 km/hr. He covers 40 percent of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 21 km/hr. What is his average speed for the entire journey?
Option 1: $\frac{140}{9}$ km/hr
Option 2: $15$ km/hr
Option 3: $\frac{164}{9}$ km/hr
Option 4: $\frac{139}{9}$ km/hr
Question : A man covers half part of a certain distance at 60 km/hr. He covers 40% of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: 24 km/hr
Option 2: $\frac{58}{3}$ km/hr
Option 3: 36 km/hr
Option 4: 40 km/hr
Question : A man walking at the speed of 8 km/hr covers a certain distance in 5 hours and 30 minutes. If he covers the same distance by cycle in 4 hours, then what is the speed of the cycle?
Option 1: 11 km/hr
Option 2: 15 km/hr
Option 3: 8 km/hr
Option 4: 9 km/hr
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