Question

A driver drove at a speed of 59 mph for x hours. How far did the driver go? The algebraic expression 59 mph at x hours of is d=

Answer 1

Consider that the speed (s), distance (d) travelled, and time (t) taken to travel the distance are related as,

`\begin{gathered} \text{ Speed}=\frac{\text{ Distance}}{\text{Time}} \\ s=(d)/(t) \end{gathered}`

Given that the speed is 59 miles per hour,

`s=59`

Also, the time is given as 'x' hours,

`t=x`

Substitute the values in the relation,

`59=(d)/(x)`

Multiply by 'x' both sides of the equation,

`\begin{gathered} 59\cdot x=(d)/(x)\cdot x \\ 59x=d \end{gathered}`

So, it is found that,

`d=59x`

Thus, the expression for distance travelled in 'x' hours with the speed of 59 mph is,

`d=59x`