Two cars travel from city A to city B at a speed of 30 and 45 km/hr respectively

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Question
Two cars travel from city A to city B at a speed of 30 and 45 km/hr respectively. If one car takes 2.5 hours lesser time than the other car for the journey, then the distance between City A and City B is:
Options
A. 270 km
B. 338 km
C. 180 km
D. 225 km

Correct Answer

225 km

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Time and Distance problems

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1. Suresh goes on a trip on his motor-cycle and rides for 410 kms. If he rides for 5 hours at a speed of 50 km/hr, find at what speed he travels for the remaining 4 hours of the journey?
Options
A. 47 km/hr
B. 40 km/hr
C. 56 km/hr
D. 48 km/hr

2. Two cars travel from city A to city B at a speed of 60 and 108 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B?
Options
A. 270 km
B. 324 km
C. 405 km
D. 216 km

3. A thief is stopped by a policeman from a distance of 400 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of policeman as 9 km/h, how far the thief would have run, before he is over -taken by the policeman?
Options
A. 400 metres
B. 600 metres
C. 500 metres
D. 300 metres

4. A man travels 430 kilometres in, partly by rail and partly by steamer. He spends 10 hours more time on steamer. If the velocity of the steamer is 25 km/hr and the velocity of rail is 65 km/hr, how much distance does he cover by steamer?
Options
A. 360 km
B. 300 km
C. 450 km
D. 540 km

5. To travel 708 km, an Express train takes 6 hours more than Rajdhani train. If however, the speed of the Express train is doubled, it takes 3 hours less than Rajdhani train. What is the speed of Rajdhani train?
Options
A. 59 km/hr
B. 78.7 km/hr
C. 39.3 km/hr
D. 98.3 km/hr

6. 3 hrs after a goods train passed a station, another train travelling at a speed of 88 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?
Options
A. 76.8 km/hr
B. 64 km/hr
C. 96 km/hr
D. 51.2 km/hr

7. A racing car going at an average speed of 108 km/hr takes 15 minutes to complete a lap on a racing track. By how much should it increase its speed (inkm/hr) to complete the lap in 12 minutes?
Options
A. 24
B. 21
C. 27
D. 30

8. Two cars A and B travel from one city to another, at speeds of 72 km/hr and 90 km/hr respectively. If car B takes 1 hour lesser than car A for the journey, then what is the distance (in km) between the two cities?
Options
A. 270
B. 360
C. 240
D. 400

9. B starts 4 minutes after A from the same point, for a place at a distance of 7 miles from the starting point. A on reaching the destination turns back and walks a mile where he meets B. If A's speed is a mile in 8 minutes then B's speed is a mile in ____ minutes.
Options
A. 9
B. 12
C. 10
D. 8

10. A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):
Options
A. 200, 250, 300
B. 300, 200, 250
C. 200, 300, 400
D. None of these

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