Question

there are two concentric circular tracks of radius 100m and 102 respectively. a runs on the inner track and goes once around the track in 1 minute 30 seconds;while b runs the outer track in 1 minutes 32 seconds who runs faster?​

Answer 1

Step-by-step explanation:

given: inner radius=100m

outer radius =102m

runner "a"=1 min 30 sec= 1×60+30=130 sec, runner"b"=1 min 32 sec=1×60+32 sec=132 seconds

now, distance covered by a= 2πr

a= 2×22×100/7

a=628.57 -(1)

speed of runner a= distance/ time= 628.57m/130s=4.83 m/s

distance covered by body b=2πR

2×22×102/7

=641.14

speed of body b= distance/time

641.14/132=4.85m/s

hence body b ran faster than a