A plane flies 910 miles with the wind in the same time it can go 660 miles against the wind. The speed of the plane is still air
1 answer:
Answer:
The speed of the wind is 48.56
Step-by-step explanation:
We can use the following formula to calculate the distance:
distance = speed x time
Let w represent the speed of the wind.
If the plane flies with the wind, the speed will be the speed of the plane + the speed of wind. Since it can fly 910 miles, and the speed of the plane is 305
910 = (305 + w) x time (1)
If the plane flies against the wind, the speed will be the speed of the plane - the speed of wind. Since it can fly 660 miles, and the speed of the plane is 305
660 = (305 - w) x time (2)
Since the time is equal for both equation in 1 and 2:
=
→ 910(305-w) = 660(305+w)
→ 277550 - 910 w = 201300 + 660w
→ 1570w = 76250
→ w = 48.56
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