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Two people on cycle are traveling at 10 miles / hour in opposite direction. When they are at a distance of 50 miles, a housefly lands on the first cyclist and then flies to the other at a speed of 16 miles/hour. What is the distance covered by fly?

Posted By :Subhransu Sekhar Jena     Posted Date :November 21, 2014    Points :40   Category :Aptitude 
You can assume that when the fly lands on cyclist 1 they are 50 miles apart. The fly has to travel 50 + x miles at 16 miles/hour. Here x is the additional distance at 10 miles/hour. So the problem is now simplified as
y = 50 + x (distance)
(50 + x)/16 = x/10 (time)
500 + 10x = 16x
6x = 500
x = 250/3 = 83.33
y = 133.33

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