Two points move in a circle with a length of 1.2m and constant speeds. If they move in different directions

| August 11, 2021 | education

Two points move in a circle with a length of 1.2m and constant speeds. If they move in different directions, they meet after 15 seconds. When moving in one direction, one point catches up to another after 60 seconds. Determine the speed of the faster point.

1) Let’s designate the speed of the first x km / h, the second by km / h.
2) The speed of withdrawal = x + y, the speed of convergence = x – y.
3) Then the equation: we divide the entire distance by the speed of the points and get the time:
1.2 / (x-y) = 60.
1.2 / (x + y) = 15.
x – y = 1.2 / 60.
x + y = 1.2 / 15.
x – y = 0.02.
x + y = 0.08.
2x = 0.02 + 0.08.
y = 0.08 – x.
2x = 0.1.
y = 0.08 – x.
x = 0.05 m / s – the speed of the first point.
y = 0.03 m / s – speed of the second point.
Answer: the speed of the first point = 0.05 m / s.



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