# Time and Distance – Questions and detailed solutions

Question 36.A train covers a distance of 400 km in 5 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) 60
• (b) 90
• (c) 70
• (d) 80

The distance traveled at 80 kmph is 160 km.

The distance traveled at 100 kmph is 200 km.

The average speed of the train is 400 km / 5 hours = 80 kmph.

Question 37. A car travels at a speed of 40 kmph for the first 4 hours, 30 kmph for the next 3 hours, and 50 kmph for the remaining distance. If the total distance covered is 280 km, how long does the car take to complete the journey?

• (a) 7.6 hours
• (b)6.5 hours
• (c)7.1 hours
• (d)8.5 hours

Question 38.A boat can travel a certain distance downstream in 4 hours. If it covers the same distance upstream in 8 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 12 kmph and the speed of the stream is 2 kmph
• (b) speed of the boat in still water is 14 kmph and the speed of the stream is 4 kmph
• (c) speed of the boat in still water is 13 kmph and the speed of the stream is 5 kmph
• (d) speed of the boat in still water is 15 kmph and the speed of the stream is 7 kmph

Question 39. A train covers a distance of 500 km in 6 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)81.50 kmph
• (b)75.50 kmph
• (c) 83.33 kmph
• (d)71.50 kmph

The distance traveled at 80 kmph is 200 km.

The distance traveled at 100 kmph is 250 km.

The average speed of the train is 500 km / 6 hours = 83.33 kmph.