ICSE Board: Suggested Books ICSE Board: Foundation Mathematics Class 8: Reference Books Class 8: NTSE Preparation --------------------------------------------------------------

Q1. A train 150 m long is running at a uniform speed of 90 km/ hr. Find:

i) The time taken by it to cross a man standing on the platform.

Length of the Train

Speed of the Train

Time Taken

ii) The time taken by it to cross a platform 250 m long.

Length of the Train

Speed of the Train

Length of the platform

Time Taken

Q2. A train 280 m long is running at a uniform speed, of 63 km / hr. Find:

i) The time taken by it to cross a telephonic pole.

Length of the Train

Speed of the Train

Time Taken

ii) The time taken by it to cross a bridge 210 m long.

Length of the bridge

Time Taken

Q3. A train 180 m long passes a telegraph post in 12 seconds. Find:

i) Its speed in km/hr.

Length of the Train

Time taken by the Train

Let the speed be

ii) The time taken by it to pass a platform 135 meters long

Length of the Platform

Time Taken

Q4. With a speed of 60 km/hr, a train crosses a pole in 24 seconds. Find the length of the train.

Answer:

Let the length of the train

Q5. A train 700 m long is running at 72km/hr. If it crosses a tunnel in one minute, find the length of the tunnel.

Answer:

Let the length of the train

Q6. A train 270 m long takes 20 seconds to cross a bridge 330 m long. Find:

Answer:

i) The speed of the train in km/hr

Let the speed be

ii) Time taken by it to cross an electric pole.

Time Taken

Q7. A train, 225 m in length, crosses a man standing on a platform in 10 seconds and a bridge in 28 seconds. Find:

Answer:

i) The speed of the train in km/hr and

Let the speed be

ii) The length of the bridge

Let the length of the bridge be

Q8. A train running at 54 km/hr crosses a telegraph post in 16 seconds and a platform in 40 seconds. Find

Answer:

i) The length of the train and

Let the lenght of the train

ii) The length of the platform.

Let the length of the platform be

Q9. Two cars are 351 km apart. They start at the same time and drive towards each other. One travels at 70 km/hr and the other travels at 65 km/hr. How much time do they take to meet each other?

Answer:

Time taken

Q10. In how much time will a train 250 m long, running at 50 km/hr pass a man, running at 5 km/hr in the same direction in which the train is going?

Answer:

Time taken

Q11. In how much time will a train 180 m long, running at 66 km/hr pass a man, running at 6 km/hr in a direction opposite to that in which the train is going?

Answer:

Time taken

Q12. A and B are two trains of lengths 250 m and 200 m respectively. They are running on parallel rails at 45 km/hr and 36 km/hr respectively in opposite directions. In how much time will they be clear of each other from the moment they meet?

Answer:

Time taken

Q13. A and B are two trains of lengths 160 m and 140 m. They are running on parallel rails in the same direction at72km/hr and 27 km/hr respectively. In how much time will A pass B completely, from the moment they meet?

Answer:

Time taken

Q14. A train 120 m long, travelling at 45 km/hr, overtakes another train travelling in the same direction at 36 km/hr and passes it completely in 80 seconds. Find the length of the second train.

Answer:

Let the lenght of the second train

Q15. The speed of a boat in still water is 8 km/hr and the speed of the stream is 2.5 km/hr- Find:

Answer:

i) The time taken by the boat to go 63 km downstream

Time taken

ii) The time taken by the boat to go 22km, upstream.

Time taken

Q16. A stream is flowing at 3 km/hr. A boat with a speed of 10 km/hr in still water is rowed upstream for 13 hours. Find the distance rowed. How long will it take to return to the starting point?

Answer:

Speed of Stream

Speed of boat in still water

Time rowed upsteram

Let the distance covered

Let the time taken to reach back

Time taken

Q17. The speed of a boat in still water is 10 km/hr. It is rowed upstream for a distance of 45 km in 6 hours. Find the speed of the stream.

Answer:

Let the speed of Stream

Speed of boat in still water

Time rowed upsteram

Distance covered

Q18. A stream is flowing at 4.8 km/hr. A boat is rowed downstream for a distance of 49 km in 3.5 hours. Find the speed of the boat in still water.

Answer:

Speed of Stream

Let the Speed of boat in still water

Time rowed down stream

Distance covered

Q19. The speed of a boat in still water is 5 km/hr and the speed of the stream is 1 km/hr. The boat is rowed upstream for a certain distance and taken back to the starting point. Find the average speed for the whole journey.

Answer:

Speed of Stream

Speed of boat in still water

Let the distance covered upstream

Total time taken to cover the journey

Total distance covered

Q20. The speed of a boat downstream is 16 km/hr and its speed upstream is 10 km/hr. Find the speed of the boat in still water and the rate of the stream.

Answer:

Let the Speed of Stream

Let the Speed of boat in still water

Therefore

Solving for and we get

ICSE Board: Suggested Books ICSE Board: Foundation Mathematics Class 8: Reference Books Class 8: NTSE Preparation --------------------------------------------------------------