A cyclist bikes x distance at 10miles per hour and returns over the same path at 8miles per hour .what is the cyclists average r

Question

Elena-2011 [213]

3 years ago

12

A cyclist bikes x distance at 10miles per hour and returns over the same path at 8miles per hour .what is the cyclists average r

ate for the round trip in miles per hour

Mathematics

1 answer:

algol [13] · Answer 1 · 2022-01-20T00:31:41+03:00

Average speed = total distance travelled / time taken
in this case total distance = 2x miles

time taken for first half of the journey = x/10 hours and for second part its x / 8 hours

average speed = 2x / ( x/10 + x/8) = 2 x / ( 4x + 5x / 40)
= 2x * 40 / 9x = 80 / 9 mph 8.89 mph