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 a wind and speed of the wind. I need help with this one :(
Answers
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 :
#SPJ2.
the plane is 430 and the wind it 20miles
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