Question

A plane flies 1,480 miles in 4 hours, with the wind. On its return trip, it took 5 hours flying against the same wind to go 1,150 miles. How fast would the plane have flown without any wind? Type in your numerical answer only; do not type any words or letters with your answer.

Answer 1

Answer:300 mi/hr

Step-by-step explanation:

Given

Plane Flies 1480 miles in 4 hr with the wind

While returning it took 5 hr to cover 1150 miles against the wind

Let
`v` and
`v_0` be the absolute speed of Plane and wind

Thus during with the flow of wind

`time=(Distance)/(Speed)`

`(1480)/(v+v_0)=4`

`370=v+v_0` ------------1

During return trip wind speed oppose Plane thus

`(1150)/(v-v_0)=5`

`230=v-v_0` ----------2

adding 1 & 2 we get

`600=2v+v_0-v_0`

`v=300 mph`

Thus Speed of plane without wind is
`300 mi/hr`