man riding a bicycle covers a distance of 60 km in the direction of wind and come back to its original position after 8 hour speed of the wind is 10 km an hour find the speed of bicycle
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Let speed of bicycle be x
Then, 60/x + 10 + 60/x -10 = 8
60x − 600 + 60x + 600 = 8 (x² − 100)
120x = 8x² − 800
x² − 15x − 100 = 0
x² −20x + 5x − 100 = 0
(x − 20)(x + 5) = 0
x = 20, − 5
Speed cannot be negative.
Hence, speed of bicycle is 20 km/hr
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