# Mara takes 50 minutes to walk to her friend's house 1 and 2/3 miles away. What is her walking pace?

Speed = Distance / Time
If we measure distance in miles and time in hour, we will get the speed in miles per hour.

Distance = 1 + 2/3 miles, which expressed as an improper fraction is 5/3 miles.

Time = 50 minutes which expressed in hours will be 50/60 or 5/6 hours.

(You can also see that 10 minutes is 1/6 of an hour, hence 50 minutes is 5/6 of an hour)

Speed = Distance / Time
= (5/3) / (5/6)

We know that dividing by "a/b" is same as multiplying by "b/a"

Hence, we have:
Speed = (5/3) * (6/5)
= (5 * 6) / (3 * 5)
= 30 / 15
= 2

Mara walks at a speed of 2 miles per hour
thanked the writer.
Distance = Rate * Time

Or, algebraically manipulated to our purpose..., and 1 and 2/3 miles changed to improper fraction...,

(3 * 1 + 2)/3

= 5/3 miles
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Rate = distance/time

Rate =  5/3 miles divided by 50 minutes

same as

Rate = 5/3 miles * 1/50 minutes

= 5/150

= 0.033 miles per minute ======
thanked the writer. 