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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?

User Kishori
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1 Answer

3 votes

Answer:

2 7/27 hours, about 2 hours 15 minutes, 33 seconds

Explanation:

You want to know how long it takes for Rich and Michelle to meet if they start 305 miles apart and are driving toward each other. Rich is driving 70 mph, and Michelle is driving 65 mph.

Closing speed

The speed at which they are moving toward each other is ...

70 mph + 65 mph = 135 mph

Meeting time

That means they will reduce their separation distance to zero after ...

time = distance / speed

time = (305 mi)/(135 mi/h) = 2 7/27 h

It will take 2 7/27 hours, about 2.26 hours, for Rich and Michelle to meet.

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User Ali Nahid
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