Two boys on bicycles, 44 miles apart, began racing directly toward each other. T

Question

Two boys on bicycles, 44 miles apart, began racing directly toward each other. The instant they started, a fly on the handle bar of one bicycle started flying straight toward the other cyclist. As soon as it reached the other handle bar it turned and started back. The fly flew back and forth in this way, from handle bar to handle bar, until the two bicycles met. If each bicycle had a constant speed of 14 miles an hour, and the fly flew at a constant speed of 19 miles an hour, how far did the fly fly?

Explanation / Answer

They will meet mid way so the distance that each travel beforethey reach each other is 44/2 = 22 miles. Their velocities are know so we calculate the time takenbefore they collide. V = s/t t = v/s = 15mph/22miles = (15/22) hours Now we know how long the fly flew 25mph for so we cancalculate the distance. s = vt s = (15/22) (25) s = 17.04 miles

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