A jet travels at 610 mi/hr relative to the air. it takes the jet 1.6h longer to travle the 3660 mi from London to Washington DC against the wind than it takes from
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A jet travels at 610 mi/hr relative to the air. it takes the jet 1.6h longer to travle the 3660 mi from London to Washington DC against the wind than it takes from
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w = velocity of windtime duration for London to Washington = 3660 / (610 - w) = t1 equation 1
time duration for washington to London = 3660 / (610 + w) = t2 equation 2
t1 - t2 = 1.6 hours so subtract equation 2 from equation 1. Take lcm & add
3660 [w + w ]
---------------------------- = 1.6
(610 - w) (610 + w)
3660 * 2 w = 1.6 (610² - w²) => w² + 4575 w - 372100 = 0
w = [ - 4575 + - squareRoot( 4575² + 4 * 372100) ] / 2
w = (-4575 +- 4734.87) / 2 = 79.94 mi/hr = 80 mi/hr after rounding off