There are 8 equidistant points A, B, C, D, E, F, G and H in the clock-wise direction on the periphery of a circle. In a time interval t, a person reaches from A to C with uniform motion while another person reaches the point E from the point B during the same time interval with uniform motion. Both the persons move in the same direction along the circumference of the circle and start at the same instant. How much time after the start, will the two persons meet each other?
There are 8 equidistant points A, B, C, D, E, F, G and H in the clock-wise direction on the periphery of a circle. In a time interval t, a person reaches from A to C with uniform motion while another person reaches the point E from the point B during the same time interval with uniform motion. Both the persons move in the same direction along the circumference of the circle and start at the same instant. How much time after the start, will the two persons meet each other?
Explanation
7t
First person distance traveled in time t = 28
laps = 1
4 laps
Distance covered by the second person at time t = 38
laps
First-person speed = 14t
Second-person speed = 38t
The two start from A and B respectively, so they meet when there is a difference of 78
laps.
Relative velocity of A and B:
= (38t-14t) = 18t
Time to complete 78
laps at this speed:
= (78 × 8t) = 7t