an athlete complete one round in a circular pathin 40sec what will be the distance at end 2min and 20s
Answers
Answer
- Distance Covered will be 2310 m
Explanation
Correct Question
An athlete completes one round of a circular track of diameter 210m in 40sec. What will be distance and displacement at the end of 2min20 sec
Given
- Diameter of the circle = 210 m
- An athlete completes one round in 40 seconds
- He runs for 2 min 2 seconds
To Find
- Distance covered at the end of all his running?
Solution
[First convert the time to Seconds then calculate the circumference of the field and the number of rounds and their product will be our Answer]
✭ Total Time
➝ 1 min = 60 sec
➝ 2 min 20 sec = 2 × 60 +20
➝ 120+20
➝ Total Time = 140 seconds
✭ Total Number of rounds
➝ 1 Round = 40 sec
➝ For 140 sec = 140/40
➝ Number of round = 3.5
✭ Circumference of the path
➝ Circumference = 2πr
➝ Circumference = 2 × 22/7 × 210/2
➝ Circumference = 2 × 22/7 × 105
➝ Circumference = 2 × 22 × 15
➝ Circumference = 660 m
✭ Distance Covered
➝ Distance Covered = Number of round × Circumference
➝ Distance Covered = 3.5 × 660
➝ Distance Covered = 2310 m