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

Answer:

$2x=54$

Step-by-step 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=$9\times 4=36 mph$

Time taken to overtake

$Time=\frac{Distance}{relative rate}[tex]Substitute the values then we get [tex]2=\frac{36}{x-9}$

Using cross multiplication property

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

$2x-18=36$

$2x=36+18$

$2x=54$

Hence, option b is true.

Answer 2

my answer is 2x = 54