# Time and Distance – Questions and detailed solutions

Question 41. A boat can travel a certain distance downstream in 3 hours. If it covers the same distance upstream in 6 hours, what is the speed of the boat in still water and the speed of the stream?

• (a) speed of the boat in still water is 6.5 km/hr and the speed of the stream is 1.5 km/hr.
• (b) speed of the boat in still water is 7.5 km/hr and the speed of the stream is 1.5 km/hr.
• (c) speed of the boat in still water is 8.5 km/hr and the speed of the stream is 1.5 km/hr.
• (d) speed of the boat in still water is 4.5 km/hr and the speed of the stream is 1.5 km/hr.

Question 42.A train covers a distance of 300 km in 4 hours. If it covers half the distance at a speed of 80 kmph and the other half at a speed of 100 kmph, what is the average speed of the train for the entire journey?

• (a) 85.55 km/h.
• (b) 88.89 km/h.
• (c) 86.45 km/h.
• (d) 89.99 km/h.

The total time is calculated as follows:

The train covers the first half of the journey (150 km) at a speed of 80 km/h, so the time taken for this part is distance/speed = 150/80 = 1.875 hours.

Then, the train covers the second half of the journey (150 km) at a speed of 100 km/h, so the time taken for this part is distance/speed = 150/100 = 1.5 hours.

So, the total time taken for the journey is 1.875 + 1.5 = 3.375 hours.

Now, we can calculate the average speed:

Average speed = Total distance / Total time
= 300 km / 3.375 hours
= 88.89 km/h

So, the average speed of the train for the entire journey is approximately 88.89 km/h.

Question 43. A car travels at a speed of 50 kmph for the first 3 hours, 40 kmph for the next 4 hours, and 60 kmph for the remaining distance. If the total distance covered is 350 km, how long does the car take to complete the journey?

• (a) 7.10hours
• (b) 7.55 hours
• (c) 6.65 hours
• (d) 7.67 hours

Question 44. A boat can travel a certain distance downstream in 2 hours. If it covers the same distance upstream in 4 hours, what is the speed of the boat in still water and the speed of the stream?

• (a) speed of the boat in still water is 4 km/hr and the speed of the stream is 5 km/hr
• (b) speed of the boat in still water is 5 km/hr and the speed of the stream is 3 km/hr
• (c) speed of the boat in still water is 7 km/hr and the speed of the stream is 4 km/hr
• (d) speed of the boat in still water is 6 km/hr and the speed of the stream is 2 km/hr

Question 45. A train covers a distance of 400 km in 5 hours. If it covers one-third of the distance at a speed of 60 kmph, one-fourth of the distance at a speed of 80 kmph, and the remaining distance at a speed of 100 kmph, what is the average speed of the train for the entire journey?

• (a) 75.55 km/h.
• (b) 70.10 km/h.
• (c) 77.8 km/h.
• (d) 65.25 km/h.

Author: user