SOLUTION: Two bicycles, Frances and Fred, rode toward each other. Each traveled 20 miles per hour, and they started off 10 miles apart. A fly flew furiously fast at 50 miles per hour from

Question 56976: Two bicycles, Frances and Fred, rode toward each other. Each traveled 20 miles per hour, and they started off 10 miles apart. A fly flew furiously fast at 50 miles per hour from Frances to Fred, The fly started on Fracnes' handlebars as Frances and Fred started riding, It flew to Fred's handlebars and then back to Frances'handlebars and back to Fred's handlebars, always following the bike path. It continued in this way until Frances and Fred reached each other. How far did the fly travel. Solve and explain
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Two bicycles, Frances and Fred, rode toward each other. Each traveled 20 miles per hour, and they started off 10 miles apart. A fly flew furiously fast at 50 miles per hour from Frances to Fred, The fly started on Fracnes' handlebars as Frances and Fred started riding, It flew to Fred's handlebars and then back to Frances'handlebars and back to Fred's handlebars, always following the bike path. It continued in this way until Frances and Fred reached each other. How far did the fly travel. Solve and explain
:
Since we know the fly's speed, all we need is the time the fly was in flight,
(assuming an instantaneous turn around), to find the distance it flies.
:
We can find that out by finding the time it takes the two bicycles to meet.
The speeds of the bikes are additive since they're going towards each other.
:
How long does it take to cover 10 mi, at 40 mph?
:
Time = Dist/Speed
T = 10/40
T = .25 hr or 15 min
:
Now the fly: Dist = speed * time
D = 50 * .25
D = 12.5 mi traveled by the fly when the bicycles meet.

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