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On Saturday, Lindsay walked #3 1/2# miles in #1 2/5# hours. What was her walking pace in miles per hour in the simplest form?

Answer 1

Isaiah Anthony

See explanation.

To calculate Linday's pace you have to divide her distance by time.

To divide two mixed numbers it is best to transform them to improper fractions first:

#3 1/2 -: 1 2/5=(3*2+1)/2 -: (1*5+2)/5=7/2 -: 7/5#

Now you can change the division of fractions to the product of the dividend and the reciprocal of the divisor:

#7/2 -: 7/5=7/2 xx 5/7= (7xx5)/(2xx7)= 35/14=5/2= 2 1/2#

Answer: Lindsay's pace is #2 1/2# miles per hour.

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Answer 2

Eli Assouline

#2 1/2 #miles per hour

#3 1/2=3.5 and 1 2/5=1.4#

#1.4 hours=3.5# miles

#1 hour=1/cancel1.4^0.2xxcancel3.5^0.5/1# miles

#1 hour=cancel0.5^2.5/cancel0.2^1# miles

#1 hour=2.5# miles or #2 1/2# miles

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Answer 3

Hazel Anglin

Lindsay's walking pace was ( \frac{7}{4} ) miles per hour.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.