Mathematics  Time, Speed and Distance  Set 1
1. A train passes two bridges of lengths 800 m and 400 m in 100 seconds and 60 seconds respectively. The length of the train is (SSC CGL)
(a) 80 m (b) 90 m (c) 200 m (d) 150 m 2. A motor boat, whose speed is 15km/h in still water goes 30 km downstream and comes back in a total time of 4 h and 30 minutes. The speed of the stream is (CDS) (a) 4km/h (b) 5km/h (c) 6km/h (d) 10km/h 3. A train, 150 m long, takes 30 seconds to cross a bridge 500 m long. How much time will the train take to cross a platform 370 m long ? (SSC CGL) (a) 36 seconds (b) 30 seconds (c) 24 seconds (d) 18 seconds Directions (45): Answer the questions based on the following information. Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 am at a speed of 5km/h, reaches B and returns to A at the same speed. Shyam starts at 9:45 am from A at a speed to 10km/h, reaches B and comes back to A at the same speed. (CAT) 4. At what time do Ram and Shyam first meet each other ? (a) 10 am (b) 10:10 am (c) 10:20 am (d) 10:30 am 5. At what time does Shyam overtake Ram ? (a) 10:20 am (b) 10:30 am (c) 10:40 am (d) 10:50 am 6. A boat running downstream covers a distance of 20 km in 2 hours while it covers the same distance upstream in 5 hours. Then speed of boat in still water is (SSC) (a) 7km/h (b) 8km/h (c) 9km/h (d) 10km/h 7. A boy is late by 9 minutes if he walks to school at a speed of 4km/h. If he walks at a speed to 5km/h, he arrives 9 minutes early. The distance to his school is (SSC) (a) 9 km (b) 5 km (c) 4 km (d) 6 km 8. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200km/h and the time of flight increased by 30 minutes. The duration of the flight is (CDS) (a) 1 hour (b) 2 hour (c) 3 hour (d) 4 hour 9. A man rows downstream 32 km and 14 km upstream and he takes 6 hours to cover each distance. What is the speed of the current ? (CDS) (a) 0.5 km/h (b) 1 km/h (c) 1.5 km/h (d) 2 km/h 10. A father and his son start at a point A with speeds of 12 km/h and 18 km/h respectively and reach another point B. If his son starts 60 minutes after his father at A and reaches B, 60 minutes before his father, then what is the distance between A and B ? (CDS) (a) 90 km (b) 72 km (c) 36 km (d) None of these 11. In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is (MAT)
(a) 5 km/h (b) 6 km/h (c) 6.25 km/h (d) 7.5 km/h 12. A train when moves at an average speed of 40 km/h, reaches its destination on time. When its average speed becomes 35 km/h, then it reaches its destination 15 minutes late. Find the length of journey. (Bank PO) (a) 30 km (b) 40 km (b) 70 km (d) 80 km 13. A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10km/h and 11 km/h respectively. What is the distance between them after six minutes ? (SSC) (a) 100 m (b) 150 m (c) 190 m (d) 90 m Directions (1415): Answer the questions based on the following information. A thief, after committing the burglary, started fleeing at 12 noon, at a speed of 60 km/h. He was than chased by a policeman X. X started the chase, 15 minutes after the thief had started, at a speed of 65 km/h. (CAT) 14. At what time did X catch the thief ? (a) 3:30 pm (b) 3 pm (c) 3:15 pm (d) None of these 15. If another policeman had started the same chase along with X, but at a speed of 60 km/h, then how far behind was he when X caught the thief ? (a) 18.75 km (b) 15 km (b) 21 km (d) 37.5 km ANSWERS

