Question

If it takes an airplane 3 hours to fly 3600 miles, how long will it take to fly

5400 miles. Use a decimal for your answer rounded to the nearest tenth.

Answer 1

Let,the speed of the plane in still air is

x

m

p

h

and the velocity of the wind is

y

m

p

h

So,when going against the wind,its net velocity becomes

x

−

y

so,to cover

3600

m

i

time taken =

3600

x

−

y

=

4

Again,when going along the direction of wind,its net velocity is

x

+

y

so,to cover

3600

m

i

time taken =

3600

x

+

y

=

3

Solving,both the equations we get,

x

=

1050

m

p

h

and

y

=

150

m

p

h