A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 28 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up
Choose the correct answer:
A) 6 2/3 B) 15 C) 20 D) 25 E) 30
Here is how I did it:   The cyclist travels 28 miles in 60 mins, so in 5 mins he will travel [(28*5)/60] miles, which equals 7/3 miles in 5 mins.   Now the hiker travels 4 miles in 60 mins. To travel 7/3 miles, he will take [(60*7/3)/4= 
<gadget id="calculator">(60*7/3)/4</gadget>
<output>35</output>
35 mins.   hence 35-5= 
<gadget id="calculator">35-5</gadget>
<output>30</output>
30 mins   30
<result>E</result>
A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 28 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up