13. Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph. If Philadelphia and Pittsburgh are 305 miles apart how long will it take Rich and Michelle to meet?

Respuesta :

Answer:

It would be 2 hours and 15 minutes

Step-by-step explanation:


Answer:2.26 hours

Step-by-step explanation:

Given

Rich is driving from Philadelphia to Pittsburgh at 70 mph

and Michelle speed is 65 mph

If Philadelphia and  Pittsburgh is 305 miles apart

Let Rich travels x miles in t time

therefore

Michelle travels 305 -x

[tex]\frac{x}{70}=\frac{305-x}{65}[/tex]

[tex]13x=14\times 305 -14x[/tex]

27x=4270

[tex]x=\frac{4270}{27}[/tex]

[tex]x=158.148\approx 158.15 miles[/tex]

time taken t[tex]=\frac{158.15}{70}=2.259 \approx [/tex] 2.26 hours