Question

Please help I don't comprehend word problems I am really struggling with it

Answer 1

`\begin{gathered} A.d=(13)/(14)t+0 \\ B\text{. 6:42 P.M.} \end{gathered}`

Step-by-step explanation:

The distance between Grand Rapids and Lansing = 65 miles

The time taken between Grand Rapids and Lansing ( 4:00 P.M. to 5:10 P.M. ) = 1 hour 10 minutes

= 70 minutes

The speed at which you are driving is:

`\begin{gathered} s=(d)/(t) \\ s=65/70 \\ s=(13)/(14)\text{ miles per minute} \end{gathered}`

Thus, a linear equation that gives the distance in terms of t is:

`\begin{gathered} (13)/(14)=(d)/(t) \\ d=(13)/(14)t \end{gathered}`

Part B

If Detroit is 150 miles from Grand Rapids:

d=150 miles

`\begin{gathered} d=(13)/(14)t \\ 150=(13)/(14)t \\ t=150*(14)/(13) \\ t\approx162\text{ minutes} \\ 162\text{ minutes = 2 hours 42 minutes} \end{gathered}`

So, the time from Grand Rapids to Detroit is 2 hours 42 minutes.

Therefore, if you leave Grand Rapids at 4:00 P.M., you will arrive in Detroit at approximately 6:42 P.M.