Question

Supria and Elle live 21 miles apart. They leave their respective homes at the same time to go for

a jog. They begin running toward each other with the intent of meeting. Supria runs at a

constant rate of 8 miles per hour and Elle runs at a constant rate of 8 miles per hour. A third

friend starts at Supria's house and rides her bike toward Elle's house and rides her bike toward

Elle's house at a constant rate of 10 miles per hour. How far will the bicyclist have ridden when

Supria and Elle finally meet?

Answer 1

`d3=13.125`
`miles`

Explanation:

Given data:

`total`
`distance = 21`
`miles`

`s1=8`
`miles/hr`

`s2=8`
`miles/hr`

`s3=10`
`miles/hr`

First we have to find out the how much time it takes when Supria and Elle meet.

As we know,

`Displacement=rate*time`

`d1=s1*t`

`d2=s2*t`

`d1+d2=21`

`8t+8t=21`

`16t=21`

`t=21/16`

Now we can find that how much the third friend had traveled during this time period

`d3=s3*t`

`d3=10*21/16`

`d3=13.125`
`miles`