a complete 8 rounds of a circular track in 40 minutes if the diameter of the track is increased by 10 times then with the same speed how much time it will take to complwte a single road
Answers
Answer:
Let, initial circumference be x m.
We Know,
Circumference = π × Diameter
∴ Circumference ∝ Diameter
∴ When Diameter increases by 10 times, circumference is also increased by 10 times.
∴ Speed = 0.2x m/minute
New Circumference = 10x m
∴ Required Time taken = 50 minutes.
Step-by-step explanation:
Step-by-step explanation:
Let the diameter of the circular track=d unit
Now, its perimeter = (pie)*d. unit
Now he completed 8 rounds in 40 minutes
Therefore his speed was=8(pie)d/40
=(pie*d) /5
Now Diameter is increased by 10 times
So it's perimeter will be=(pie) *(10d) unit
Time taken by him
=[(pie) *(10d)]/[(pie*d) /5] min
=50 minutes
HE NEEDS 50 MINUTES TO COMPLETE ONE ROUND......
HOPE THIS HELPS YOU....