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Review: Difference in Distances over Time
Explanation
This computation looks beastly, but the question says
"approximately," so we can take the speed of A to be 20 miles per hour and that
of B to be 15 miles per hour. (When we get to the stage of evaluating the
answers, we'll recall that we approximated and question whether we have
answered precisely enough.)Cyclist A
rides at a constant rate of .
Without changing the rate, we want to get it to express the time for 1500
miles. To do this, we can multiply the fraction by 1:
So, A will take hours. B will take hours, which is more, because the denominator
is smaller. It's easy enough to compute directly, but I would prefer to use the
common denominator of 60:
Our estimate is 25.
The correct answer is (C).
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