There is a circular path around a sports field. Aditya takes 18 minutes to drive one round of the field, while Aryan take 12 minutes for the same. suppose they both started the same point and at the same time and go in the same direction. After how many minutes will they meet again at the starting point.
Answers
Answer:
Diameter = 200 m, therefore, radius = 200m/2 = 100 m
Time of one rotation = 40s
Time after 2m20s = (2 x 60s + 20s) = 140s
We know that, velocity along a circular path
= (Circumference/time)
⇒v =(2πr/40s)
⇒v= (2×3.14×100m/40s)
⇒v= (628m/40s)
⇒v=15.7m/s
(a) Distance after 140s
We know that, distance=velocity ×time
⇒ distance= (15.7m/s ×140 s) = 2198 m
(b) Displacement after 2 m 20 s i.e. in 140 s
Since, rotating in 40 s=1
Therefore, rotation in
1s=140
∴ rotation in 140s=(1/40)×140=3.5
Therefore, in 3.5 rotations athlete will be just at the opposite side of the circular track, i.e. at a distance equal to the diameter of the circular track which is equal to 200 m.
Therefore, Distance covered in 2 m 20 s = 2198 m
And, displacement after 2 m 20 s = 200m
Answer:
36 minutes is the correct answer .
first we have to find the LCM of 18 and 12
we will get 36 .
Step-by-step explanation:
i hope this answer help you