Question

Bill started west on road U.S. 50, riding a bicycle at an average rate of 9 mph. Four hours later Charles started after Bill on a motor cycle and overtook him in 2 hours. What was Charles' rate? Which equation could be used to solve for Charles' rate if it is represented by x? 2x = 36 2x = 54 6x = 54

Answer 1

my answer is 2x = 54

Answer 2

`2x=54`

Explanation:

We have to find the equation which could be used to solve for Charle's rate if it represented by x and

Let Charle's rate =x

Bill's average rate=9 mph

Relative rate =x-9 mph

Distance traveled by bills after 4 hours=
`9* 4=36 mph`

Time taken to overtake

`Time=(Distance)/(relative rate)[tex]</p><p>Substitute the values then we get </p><p>[tex]2=(36)/(x-9)`

Using cross multiplication property

Then we get
`2(x-9)=36`

`2x-18=36`

`2x=36+18`

`2x=54`

Hence, option b is true.