Question

Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet.

Answer 1

Given that,

Speed of first bicycle = 9 mph

Speed of second bicycle = 5 mph

Suppose the length of the circle 24 miles.

We need to find the relative velocity

Using formula of relative velocity

$v=v_{1}-v_{2}$

Put the value into the formula

$v=9-5$

$v=4\ mph$

We need to calculate the time

Using formula of time

$t=\dfrac{d}{v}$

$t=\dfrac{24}{4}$

$t=6\ hr$

We need to calculate the distance of the points where the two bicycles meet

Using formula of distance

For first bicycles,

$d=9\times6$

$d=54\ miles$

For second bicycles,

$d'=5\times6$

$d'=30\ miles$

Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.