Question

A train traveled at 140 miles per hour for 2 - xhours, and (27 – 3)miles per hour for the next 3 hours. Express the total distance traveled by the train in terms of x I IEE

Answer 1

Data:

In 2 1/14 x hours traveled in a speed of 140 miles per hous

In 3 hours traveled in a sped of (2x-3) miles per hour

The given data is the speed of the train and the time. The next formula is the general equation for the speed:

`s=(d)/(t)`

s is the speed, d is the distanc and t is the time. As you need to find the distance you can solve this equation for d:

`d=s\cdot t`

In the first part:

`\begin{gathered} s=140(mil)/(h) \\ \\ t=2(1)/(14)xh \end{gathered}`

Then, the distance in this first part is:

`\begin{gathered} d=140(mil)/(h)\cdot2(1)/(14)xh \\ \\ d=290x \end{gathered}`

Second part:

`\begin{gathered} s=(2x-3)(mil)/(h) \\ \\ t=3h \end{gathered}`

The distance in the seond part is:

`\begin{gathered} d=(2x-3)(mil)/(h)\cdot3h \\ \\ d=6x-9 \end{gathered}`

Then, the total distance traveled is the sum of the distance in first and second part:

`\begin{gathered} d_T=290x+6x-9 \\ \\ d_T=296x-9 \end{gathered}`