Question

During a hurricane evacuation a family traveled 260 miles. In the first part of their trip, theyaveraged 50 mph, but then they had to slow down to 10 mph. If the total time of the travel was6 hours, how many miles did they drive at 10 mph.

Answer 1

Let they have traveled x miles withbb50 mph and y miles with 10 mph

S0

`x+y=260`

Now the total time of travel is 6 hours

So

`\begin{gathered} (x)/(50)+(y)/(10)=6 \\ (x+5y)/(50)=6 \\ x+5y=300 \\ (260-y)+5y=300 \\ 4y=300-260 \\ 4y=40 \\ y=10 \end{gathered}`

So they drive 10 miles at 10mph