The following graph shows the journey made by two cyclists, one from town A to B and the other from town B to A.
(a) At what time did cyclist II rest? How long did the cyclist I rest?
(b) Was cyclist II cycling faster or slower after the rest?
(c) At what time did the two cyclists meet?
(d) How far had cyclist II travelled when he met cyclist I?
(e) When cyclist I reached town A, how far was cyclist II from town B?

Solution:

(a) The cyclist II rested for 15 minutes from 8:45 am to 9:00 am. Cyclist I did not rest at all.

(b) After rest the cyclist II covered a distance of 20 Km in one hour, which meant that the speed was 20 km/hour. Cyclist I was cycling at the constant speed of 30/(3/2) = 20 km/hour throughout the journey.

(c) The cyclists met at 9:00 am.

(d) The cyclist II had travelled 10 km when he met cyclist I

(e) When cyclist I reached town A, cyclist II was still 10 km away from town B

✦ Try This: The following graph shows the journey made by two cyclists, one from town A to B and the other from town B to A.

(a) At what time did cyclist I rest? How long did the cyclist II rest?

(b) What was the speed of the cyclist I before the rest?

(c) At what time did the two cyclists meet?

(d) How far had cyclist I travelled when he met cyclist II?

(e) What was the average speed of the cyclist I?

(a) Cyclist I rested at 8:30 am. Cyclist II did not rest at all.

(b) The speed of the cyclist I before the rest was 20/(1/2) = 40 Km/hour

(c) The cyclists met at 8:45 am.

(d) Cyclist I had travelled 20 km when he met cyclist II

(e) The average speed of the cyclist I was 15 km/hour

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 15

NCERT Exemplar Class 8 Maths Chapter 12 Problem 71

The following graph shows the journey made by two cyclists, one from town A to B and the other from town B to A. (a) At what time did cyclist II rest? How long did the first cyclist (Cyclist 1) rest? (b) Was cyclist II cycling faster or slower after the rest? (c) At what time did the two cyclists meet? (d) How far had cyclist II travelled when he met cyclist I? (e) When cyclist I reached town A, how far was cyclist II from town B?

Summary:

The given graph shows the journey of two cyclists i.e cyclist I and cyclist II,cycling from Town A to TownB and town B toTown A respectively.

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