Study the following case and answer the questions given below:
During the Annual Sports Day, three students—Arjun, Meera, and Kabir—participated in a long-distance running event. Their coach recorded the distance covered and the time taken by each student.
1. Arjun covered \(12\ km\) in \(2\ hours\).
2. Meera covered \(15\ km\) in \(2\ hours\).
3. Kabir covered \(18\ km\) in \(3\ hours\).
The students did not maintain the same speed throughout the run. They slowed down while going uphill and increased their speed on the level road. The coach used their total distance and total time to calculate their average speeds.
1. Arjun covered \(12\ km\) in \(2\ hours\).
2. Meera covered \(15\ km\) in \(2\ hours\).
3. Kabir covered \(18\ km\) in \(3\ hours\).
The students did not maintain the same speed throughout the run. They slowed down while going uphill and increased their speed on the level road. The coach used their total distance and total time to calculate their average speeds.
1. Which two students had the same average speed?
2. Meera covered \(15\) km, while Arjun covered \(12\ km\). A student concludes that Meera must be faster because she covered a greater distance. Is this conclusion correct?
3. Suppose Kabir continues moving at his calculated average speed for another \(2\ hours\). Approximately how much additional distance would he cover?
4. A student says:
“Since Arjun and Kabir have the same average speed, they must have travelled the same distance.”
Based on the case, how should this statement be evaluated?
“Since Arjun and Kabir have the same average speed, they must have travelled the same distance.”
Based on the case, how should this statement be evaluated?