Question

red bike is traveling south, toward Lawrence, at constant speed of 24km/h and a blue bike is also traveling east, away from Lawrence, at a constant speed of 12 km/h. when t=0, the red bike is 10 km north and the blue bike is 6 km east of Lawrence a. express the distance of the red bike from Lawrence, R, as a function of time in hours, t. b. express the distance of the blue bike from Lawrence, B, as a function of time in hours, t.

Answer 1

a.
`R=10-24t`

b.
`B=6+6t`

Explanation:

We are given that

Speed of red bike, v=24 km/h

Speed of blue bike, v'=12km/h

Distance of red bike when t=0

=10 km north

Distance of blue bike when t=0

=6km east

a. We have to find the expression of distance of red bike from Lawrence.

`Distance=speed* time`

Let t be the time taken by red bike

Distance of red bike from Lawrence is given by

`R=10-24* t`

`R=10-24t`

b.

Distance of the blue bike from Lawrence

`B=6+6* t`

`B=6+6t`