"it takes Santa 5 minutes to fly 35 miles with the wind. it takes him 7 minutes to go 35 miles against the wind. determine the speed of Santas sleigh in still air (x) and the speed of the wind (y)." how do i show my work for this?
Let 'y' stand for the speed of the wind and 'x' stand for the speed of Santa. We will use the general equation (distance)=(rate)(time) to write two equations from the given information:
With the wind:
35=(x+y)(5)
Against the wind:
35=(x-y)(7)
Now we have two equations and two unknowns so we can solve for x and y. We get: