Question

A plane whose air speed is 150 mi/h flew from abbot to blair in 2h with a tail wind. on teh return trip against the same wind, the plane was still 60 mi from abbot after two hours. find the wind speed and the distance between abbot and blair

Answer 1

When plane is flying in tail wind condition we will have

$V_{plane} + v_{wind} = \frac{distance}{time}$

$150 mph + v_{wind} = \frac{distance}{2}$

Now during return journey we can say its would be head wind now

$V_{plane} - v_{wind} = \frac{distance}{time}$

time = 2 + 1 = 2 hours

$150 - v_{wind} = \frac{distance}{3}$

now add two equations

$300 = \frac{5*distance}{6}$

distance = 360 miles

now from above equation again

$v_{wind} = 30 mph$