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=(d)/(v)`

`t=(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*6`

`d=54\ miles`

For second bicycles,

`d'=5*6`

`d'=30\ miles`

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