Please re-post this question without the cursor hiding the rate for the bicyclist.

thanks
Andrew

The cyclist is going 20 mph.

So, to solve, you need to determine how far each (the hiker and the cyclist) will go in 5 minutes.

The hiker is going 4 miles per hour. To convert to "miles per 5 minutes" we want to divide 4/12 = 1/3. So, the hiker will go 1/3 of a mile in 5 minutes.

The cyclist is going 20 miles per hour. Again, divide that by 12 to get miles per 5 minutes = 5/3.

So, when the cyclist passes the hiker, they are in the exact same spot. Five minutes later, the cyclist has gone 5/3 miles and the hiker has gone 1/3 of a mile. Therefore, the hiker is now 5/3 - 1/3 = 4/3 miles behind.

The hiker needs to go 4/3 miles to catch up, which will take him 20 minutes moving at the rate of 1/3 miles per 5 minutes.

Hope this helps!

VP_Jim wrote:The cyclist is going 20 mph.

So, to solve, you need to determine how far each (the hiker and the cyclist) will go in 5 minutes.

The hiker is going 4 miles per hour. To convert to "miles per 5 minutes" we want to divide 4/12 = 1/3. So, the hiker will go 1/3 of a mile in 5 minutes.

The cyclist is going 20 miles per hour. Again, divide that by 12 to get miles per 5 minutes = 5/3.

So, when the cyclist passes the hiker, they are in the exact same spot. Five minutes later, the cyclist has gone 5/3 miles and the hiker has gone 1/3 of a mile. Therefore, the hiker is now 5/3 - 1/3 = 4/3 miles behind.

The hiker needs to go 4/3 miles to catch up, which will take him 20 minutes moving at the rate of 1/3 miles per 5 minutes.

Hope this helps!

Thanks Jim!

Also, sorry it was a bad post but the rate is 20 MPH.

If you read the question carefully you see that the speeds are proportional

That is the hikers speed is 1/5 th of that the cyclist

This means that if the hiker moves X miles in one minute the cyclist will move 5X miles

So the actually the cyclist has only moved 20X miles in 5 min relative to the hiker so the hiker will take 20x/ x minutes

so the answer is 20 min

We need not convert !!!!!!!!!!!!!