If a plane can travel 450 miles per hour with the wind and 410 miles per hour against the wind, find the speed of the plane without wind and the speed of the wind.

the plane is 430 and the wind it 20miles

Answered by mjchey | 2024-06-10

The **speed **of the **plane **without a wind is **430 miles/hr **and speed of the wind is **20 miles/hr. **
What is Speed ?
**Speed **is a rate of change of **distance **with respect to time . i.e. v=dx÷dt. Speed can also be defined as distance over time
i.e. speed= distance ÷ time
it is denoted by v and its SI unit is m/s. it is a scalar quantity .
Speed shows how much distance can be traveled in unit time.
To find **dimension **for speed is, from formula
Speed = Distance ÷ Time
Dimension for distance is [L¹] ,
Dimension for Time is [T¹],
Dividing dimension of distance by dimension of time gives,
{L¹] ÷ [T¹] = [L¹T⁻¹]
Dimension for speed is** [L¹T⁻¹].**
Consider,
Speed of the plane = v
Speed of the wind = u
Speed of the wind in the direction of wind is,
v + u = 450 miles/hr.....1
Speed of the wind in the **opposite direction **of **wind **is,
v - u = 410 miles/hr.....2
Adding equation 1 and 2
2v = 860
v = 430 miles/hr
Subtracting equation 1 and 2
2u = 40
u = 20 miles/hr
Hence the speed of the plane without a wind is **430 miles/hr **and speed of the wind is **20 miles/hr. **
To know more about **Speed **:
https://brainly.com/question/28224010
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Answered by eramkhanvt | 2024-06-17

The speed of the plane without the wind is 430 miles per hour, and the speed of the wind is 20 miles per hour.
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Answered by eramkhanvt | 2025-01-26