It took me 3 hours to visit my friend in Maine, averaging a speed of 58 miles per hour. If it took me 15 minutes less to get back home, what was my average speed coming home?

Respuesta :

Answer: the average speed coming home is 63.3 mph

Step-by-step explanation:

Let x represent your average speed while you were going home.

Distance = speed × time

It took me 3 hours to visit my friend in Maine, averaging a speed of 58 miles per hour. This means that the distance travelled on your way to your friend's house is

3 × 58 = 174 miles

If it took me 15 minutes less to get back home, it means that the time you spent in going back home is 3 - 0.25 = 2.75hours

Distance covered while going back home is

2.75 × x = 2.75x

Assuming the distance is the same, it means that

2.75x = 174

x = 174/2.75

x = 63.3 mph

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