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How do I set this up and how do I know

How do I set this up and how do I know-example-1
User IsHidden
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Given

Let 't' represents the time

Peg drives 30mph after he has driven 20miles, the total distance travelled here will be


\begin{gathered} 30* t+20 \\ =30t+20 \end{gathered}

Darren drives 45mph, hence the distance travelled will be


45* t=45t

Equate the two and solve for t


\begin{gathered} 30t+20=45t \\ 20=45t-30t \\ 20=15t \\ (20)/(15)=(15t)/(15) \\ (4)/(3)=t \\ \therefore t=1(1)/(3)hr=1hr\text{ 20minutes.} \end{gathered}

Hence, it will take 1hr 20min.

User StackThis
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