Question 1179934
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The response from the other tutors solve the problem by using the "times are the same" equation:
Justin's time = 10km/x mph
Leo's time =12km/(x+1)mph
{{{10/x = 12/(x+1)}}}<br>
That leads to a relatively easy solution using basic algebra.<br>
Setting up the problem using a different proportion makes solving the problem easier.<br>
Since the times are the same, the ratio of distances is equal to the ratio of speeds:<br>
{{{12/10=(x+1)/x}}}<br>
Simplify the numerical fraction on the left:<br>
{{{6/5 = (x+1)/x}}}<br>
That equation COULD be solved using formal algebra; but it can also be solved by inspection: x=5 makes the fraction on the right 6/5, which is the same as the fraction on the left.<br>
ANSWER: Leo's speed is x+1=6 mph<br>