There are two concentric circular tracks of radii 100 meters and 102 meters respectively. A runs on the inner track and goes around the track in 1 minute and 30 seconds, while B runs on the outer track in 1 minute 32 seconds. Who runs faster?
Answers
Answer:First let us take out the circumferences of both circles.
Radius of inner circle = 100m
∴Circumference of the inner track= 2πr
=2×3.14×100
=628m
Radius of outer track=102m
∴Circumference of outer track=2πr = 2×3.14×102 = 753.6m
Time taken by A = 1min 30sec = 90 sec
Time taken byb B = 1min 32 sec = 92 sec
Speed of A = Distance covered by A ÷ Time taken
= 628÷90
= 6.98 m/s
Speed of B = Distance covered by B ÷time taken
=753.6÷92
=8.19m/s
Speed of A is smaller than the speed of B.
∴B runs faster.
Step-by-step explanation: