Question

a plane can fly 1120 in 1hr 20min with wind . flying against the same wind the plane Travels the same distance in 1 hour 24 minutes find the speed off the plane and the speed of the Wind...​

Answer 1

rate with wind:: 1120 km/(4/3)hr = 840 km/hr

Equation:

With wind:: p + w = 840

Against wind:: p - w + 2800

2p = 1640

plane speed = 820 km/hr

Solve for "w":

p + w = 840

2800 + w = 840

w = -1960 km/hr

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Answer 2

x + y = 1120/80 km/min

x - y = 1120/84 km/min

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put the system of linear equations into standard form

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x + y = 1120/80 km/min * (60 min/hour) = 840 km/hr

x - y = 1120/84 km/min * (60 min/hour) = 800 km/hr

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x + y = 840

x - y = 800

on solving u get

x=airplane speed = 820 km/hr

y= wind speed = 20 km/hr

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