Time , Speed and Distance MCQ Set 7

TIME , SPEED AND DISTANCE MCQ SET 7

1. A thief is spotted by a policemen from a distance of 210 m . When the policeman starts the chase , the thief also started running . If the speed of the thief is 25km/h and that of the policeman is 32 km/h , then how far would the thief have run (in m) before he is overtaken?

(a) 920

(b) 480

(d) 750

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Answer: D

2. A thief stole jewellery from a shop at 8:15 p.m. and left on a bike at a speed of 60 km/h . The police were informed at 8:30 . If the police want to arrest the thief at 9:00 p.m. . What should be the minimum speed of the police jeep?

(a) 60 km/h

(b) 75 km/h

(d) 90 km/h

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Answer: D

3. A thief running at speed of ‘x’ km/h is chased by a policeman running at a speed of 10 km/h . If the thief is ahead by 100 metres , the policeman catches the thief after 3 minutes . At what speed is the thief running (‘x’ being the unknown speed) ?

(a) 4 km/h

(b) 8 km/h

(d) 6 km/h

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Answer: B

4. A thief steals an item and escapes , running at a speed of 15 km/h . A policeman arrives at the spot of the crime after 4 minutes and immediately starts chasing the thief . 16 minutes after the policeman starts chase the thief ; there is still a gap of 200 m between the two . At what distance from the spot of the crime will the policeman catch up the thief and what is the speed (in km/h) of the policeman ?

(a) 5.5 km , 16.5

(b) 6 km , 18

(d) 4.5 km , 15

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Answer: B

5. Two cities A and B are 135 km apart on a straight track . One car starts from A at 8 a.m. and travels towards B at 25 km/h . Another car starts from B at 9 a.m. and travels towards A at a speed of 30 km/h . At what time will they meet?

(a) 11 a.m.

(b) 10 a.m.

(d) 11:30 a.m.

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Answer: A

6. Two cities P and Q are 181 km apart on a straight road . One man starts from P at 8:30 a.m. and travels towards Q at 30 km/h . If another man starts from Q at 8:54 a.m. and travels towards P at a speed of 35 km/h . then at what time will they meet?

(a) 11 : 30 AM

(b) 10 : 00 AM

(d) 11 : 00 AM

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Answer: A

7. P and R at a distance of 296 km from each other at 7:45 a.m. After 15 minutes , P starts moving towards R at the speed of 32 km/h . At 8:30 a.m. R starts moving towards P at the speed of 8 km/h . At what time will they meet ?

(a) 4 : 20 p.m.

(b) 2 : 45 p.m.

(d) 4 : 50 p.m.

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Answer: C

8. Two trains leave Agra for Calcutta at 9 : 00 a.m. and 9:30 p.m. , respectively , and travel at 240 km/h and 300km/h , respectively . How many kilometers from Agra will the two trains meet ?
(a) 270 km

(b) 300 km

(d) 240 km

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Answer: C

9. From point H , at 6 : 30 pm , a train starts moving towards point K at the speed of 90 km/h . Another train starts moving from point K at 7 : 30 p.m. towards point H at the speed of 72 km/hr . Both the train meet at 11:30 p.m. at point J . What is the ratio of the distance HJ and KJ ?

(a) 25 : 16

(b) 5 : 16

(d) 31 : 19

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Answer: A

10. Ajit Singh left from place P at 9 : 30 a.m. for place Q , and David Raj left place Q at 1 : 30 p.m. for place P . The distance between them is 416 km . If Ajit Singh’s speed is 44 km/h and David Raj speed is 52 km/h , then at what time will they meet each other ?

(a) 4 : 30 p.m.

(b) 6 p.m.

(d) 5 p.m.

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Answer: C