Answer :
The speed of the wind is 50 mph.
Define speed.
Speed, expressed in terms of meters per second, is the rate at which an object's position changes. A thing moves one metre in one second, for instance, if it starts at the origin and moves three metres in three seconds. The formula for speed is as straightforward as dividing a distance by a time.
Given,
250 mph for the plane's speed when there is no wind
v is the wind speed.
Think about how the plane will move against the wind:
V' = the rate of flight of the aircraft against the wind = V + v = 250 + v
300 miles is the distance travelled in d'.
T is the passage of time over the distance.
The distance's travel time is specified as
t' = d'/V'
t' = 300/(250 + v) eq-1
Think about how the plane moves when flying against the wind:
V" is the speed of a plane travelling against the wind and equals V - v. This equals 250 - v.
D" = 200 miles of distance travelled
t" is the passage of time over the distance.
The distance's travel time is specified as
t'' = d''/V''
t'' = 200/(250 - v) eq-2
Due to this:
travelling time of 300 time required to drive 200 miles in miles
t' = t''
using eqs 1 and 2
300/(250 + v) = 200/(250 - v) (250 - v)
3/(250 + v) = 2/(250 - v) (250 - v)
750 - 3 v = 500 + 2 v
5 v = 250
v = 50 mph
The speed of the wind is 50 mph.
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