a cyclist and jogger are 20 miles apart. the cyclist rides at 17 mph and the jogger runs at 7 mph. they move towards each other. a fly starts on the nose of the cyclist and flies at 20 mph from the cyclist to the runner and back. it continues back and forth until the cyclist and the jogger meet. How far has the fly travelled?

17t + 7t = 20 Miles

24t = 20
t = 20 / 24 = 0.83333 Hrs. to meet.

D = 20mi/h * 0.83333h = 16.7 Miles. =
Dist. traveled by fly.

To find out how far the fly has traveled, we need to determine the time it takes for the cyclist and jogger to meet. Since they are moving towards each other, their combined speed is the sum of their individual speeds, which is 17 mph + 7 mph = 24 mph.

Let's assume it takes t hours for them to meet. So, the distance covered by the cyclist in t hours would be 17 mph x t hours, and the distance covered by the jogger would be 7 mph x t hours.

Since the total distance between them is 20 miles, we can set up an equation:

17t + 7t = 20

Combining like terms, we get:

24t = 20

Dividing both sides by 24, we have:

t = 20/24

t = 5/6 hours = 0.83 hours

Now that we know the time it takes for them to meet, we can calculate the distance traveled by the fly. The fly's speed is 20 mph, and it travels for 0.83 hours, so the distance traveled by the fly is:

20 mph x 0.83 hours = 16.6 miles

Therefore, the fly has traveled approximately 16.6 miles.