Question 282321
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When the cyclist starts, the jogger has been running for an hour at 4.5 mph, covering a distance of 4.5 miles.<br>
The rate at which the cyclist catches up to the jogger is the difference in their rates, which is 14-4.5 = 9.5 mph.<br>
The time required for the cyclist to catch up to the jogger is the catch-up distance divided by catch-up the rate, which is 4.5/9.5 = 9/19 hours.<br>
The question asks for the time after the jogger starts for the cyclist to catch up to the jogger; that is 1 + 9/19 = 28/19 hours.<br>
28/19 = 1.4736...<br>
Rounded to the nearest tenth of an hour, per the instructions...<br>
ANSWER: 1.5 hours<br>