Train Problems : Mathematics Objective Questions
Train Problems : Mathematics Objective Questions
1. A car runs at the rate of 15kmph during the first 30kms and at 25kmph during the second 50kms. What is the average speed for the entire trip?
a) 15kmph b) 20kmph c) 25kmph d) 30kmph
2. A train covered the first 5 km of its journey at a speed of 30 km/h and the next 15 km/hr at a speed of 45 km/h. The average speed of the train was
a) 35 km/hr b) 40 km/hr c) 32 km/hr d) 42 km/hr
3. A car travels the first 100 km at a speed of 40 km/hr and the next 200 km at 60 km/hr. Find the average speed?
a) 50 km/hr. b) 52.8 km/hr c) 51.4 km/hr d) 51.6 km/hr
4. A man walking at a rate of 9 km per hour crosses a square field diagonally in 18 seconds. The area of the field is
a) 2025 sq .m. b) c) 1012.5 sq. m. d) 2025 sq. m.
5. One man travels at the speed of 64 km/hr. for the first 160 km, then travels the next 160 km at the speed of 80 km/hr. what is the average speed for the 320 km?
a) 35.55 km/hr b) 36 km/hr c) 71.11 km/hr d) 72 km/hr
6. Two trains 121 m and 99 m long are running in opposite direction at speeds of 40 km/hr and 32 km/hr respectively. In what time they completely pass each other from the moment they meet?
a) 8 sec b) 11 sec c) 12 sec d) 10 sec
7. A train running at 30metre/second takes 30 seconds to cross a platform of 600 m long. The length of the train (in metre) is
a) 120 b) 150 c) 200 d) None of these
8. A thief running at a speed of 8 km/hour is chased by a policeman at a speed of 10 km/hour. If the thief is ahead by 100 meters, the police man will catch him after.
a) 2 minutes b) 6 minutes c) 10minutes d) 3 minutes
9. A bus travelled 200 km in 4 hours. The first 125 km was travelled in 2 ½ hours. What is the average speed with which the bus travels the remaining distance?
a) 50 km/hr b) 55 km/hr c) 60 km/hr d) None of these
10. A cyclist travels 10 km with a speed of 5 km/hhour and 15 km with a speed of 7.5 km/hr. What his average speed?
a) 6 km/hr b) 6.25 km/hr c) 6.5 km/hr d) None of these
11. A car runs at the rate of 15 kmph during the first 30 kms and at 25 kmph during the second 50 kms. What is the average speed for the entire trip?
a) 15 kmph b) 20 kmph c) 20 kmph d) 30 kmph
12. A train 270 metres long is moving at a speed of 25 km/hour. It will cross a man coming from the opposite direction at a speed of 2 km/hour in
a) 36 sec b) 32 sec c) 28 sec d) 24 sec
13. How many seconds will a train, 100 m long, running at the rate of 20 km/hr. take to pass a certain telegraph post?
a) 18 sec b) 12 sec c) 20 sec d) 10 sec
14. A man travels 10 km in the first hour, 20 km in the second hour and 30 km in the third hour. Then his average speed for three hours is
a) 25 km/hr b) 35 km/hr c) 20 km/hr d) 15 km/hr
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