Algebra Bonus Problem?

Question

Two cyclists, 50 miles apart are racing toward one another from opposite directions at

constant speeds of 18 mph and 22 mph. A fly buzzes back and forth between the noses

of the cyclists at 100 mph until it is smashed when the cyclists collide. How far did the Fly travel until it dies

Please explain work Thank you

fly travel before it died

Answer 1

I think you should do your own homework.

Answer 2

Very simple. The two cyclists are moving towards each other at a combined speed of 40 mph. 50 miles takes them

t = 50/40 hours or 5/4 hours

fly is buzzing back and forth for 5/4 hours at 100 mph, so it traveled 100mph x 1.25 hr = 125 miles

Sorry I didn't use algebra, but not needed.