Question 1209001
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Here is a VERY different approach to solving the problem than the standard algebraic method shown by the other tutors.<br>
Your average speed running is 6 mph; your average speed cycling is 25 mph.<br>
Your overall average speed is 87/5 = 17.4 mph.<br>
Use a number line if it helps to observe/calculate that 17.4 is 3/5 of the way from 6 to 25.  That means 3/5 of the total time was at the higher speed.<br>
The total time was 5 hours, and 3/5 of the time, or 3 hours, was at the higher speed.<br>
So your cycling time was 3 hours and your running time was 2 hours.<br>
The cycling distance, 3 hours at 25 mph, was 3*25 = 75 miles.<br>
The running distance, 2 hours at 6 mph, was 2*6 = 12 miles.<br>
ANSWERS:
running distance: 12 miles
cycling distance: 75 miles<br>