Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.

(a) How farther did Soni hop than Nancy?
(b) What is the total distance covered by Seema and Megha?
(c) Who walked farther, Nancy or Megha?

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

There are two towns Ramgarh and Arjangarh which are separated by a hill. The people of one town have to travel on a zig-zag road which goes over the hill so as to reach the other town. Gaurav is a student of class IX in Ramgarh. Onnce Gaurav went from Ramgrah to Arjangarh on a scooter with his father. Driving at a constant speed of 50km/h on the hilly road, it took exactly 30 minute to reach Arjangarh. One day Gaura told his father that if a straight tunnel could be dug through the hill, then it would become very easy for the people of two towns to visit each other. keeping this is mind, Gaurav invited the people of both the towns and took a delegation to the Collector's office. This delegation demanded the construction of a straight tunnel road through the hill. Gaurav explained the various advantages of connecting Ramgarh and Arjangarh through a tunnel road in the hill. The collector liked the idea and a straight tunnel road was constructed after some time. One day Gaurav went from Ramgarh to Arjangarh through the straight tunnel road on the scooter with his father. Driving at a constant speed of 50 km/h, it took them just 12 minutes to reach Arjangarh. Both, Gaurav and his father were very happy. (a) What was the distance covered by Gaurav on going from Ramgarh to Arjangarh by travelling on road over the hill? (b) What is the distance covered by Gaurav on going from Ramgarh to Arjangarh by travelling on straight tunnel road/ (c) How much less distance is to be covered now in going through the tunnel than on going over the hill? (d) What is the displacement of Gaurav from Ramgarh on reaching Arjangarh? (e) State two advantages of construction of the tunnel road for the people of two towns. (f) What values are displayed by Gaurav in this episode?

The students of a school decided to beautify the school on the annual day by fixing colourful flags on the straight passage of the school. They have 27 flags to be fixed at intervals of every 2 m. The flags are stored at the position of the middle most flag. Ruchi was given the responsibility of placing the flags. Ruchi kept her books where the flags were stored. She could carry only one flag at a time. How much distance she did cover in completing this job and returning back to collect her books ? What is the maximum distance she travelled carrying a flag ?

An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at 1/2 after one hop 3/4 after two hops, and so on a. Make a table showing the insect's location for the first 10 hops. b. Where will the insect be after n hops? c. Will the insect ever get to 1? Explain.