Question

Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow.

1. At what time did the person start from his home?
2. How much distance did he travel in the first four hours of his journey?
3. What was he doing from 3 pm to 5 pm?
4. What was the total distance travelled by him throughout the day?
5. Calculate the distance covered by him in the first 8 hours of his journey.
6. At what time did he cover 16 km of his journey?
7. Calculate the average speed of the man from (a) A to B (b) B to C.
8. At what time did he return home?

Answer 1

Observing the graph carefully, we conclude that

1. At 10 AM, the person start from his home.
2. In first 4 h (i.e. till 2 PM), he travelled 16 km.
3. He was taking rest from 3 PM to 5 PM.
4. The total distance covered by the person throughout the day was 40 km, i.e. 20 km from A to S and then 20 km from C to D.
5. The distance covered by him in the first 8 h i.e. from 10 AM to 6 PM was 24 km.
6. He covered 16 km of his journey at 2 PM.
7. The total distance covered from A to S = 20 km and the time taken to travel from A to B = 5 h
   ∴ Average speed of the man from A to B = `20/5` = 4 km/h and average speed from S to C = `0/2` = 0 km/h
8. He returned home at 10 PM.