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

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

$time=\frac{Distance}{Speed}$

$\frac{1480}{v+v_0}=4$

$370=v+v_0$   ------------1

During return trip wind speed oppose Plane thus

$\frac{1150}{v-v_0}=5$

$230=v-v_0$    ----------2

adding 1 & 2 we get

$600=2v+v_0-v_0$

$v=300 mph$

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