Question

Wilmer went up a hill for x minutes at a speed of y kilometers per minutes. Then he went down the same path at a speed of z kilometers per minute, and it took him w minutes to do it. Write an equation that relates x, y, z, and w. (The wording for this question really confuses me. And I do not understand which variable to put on it's own.) PLEASE ANSWER

Answer 1

Answer:

$xy=wz$

Step-by-step explanation:

Given that:

Speed of Wilmer up the hill = $y$ km/min

Time taken up the hill = $x$ minutes

Speed of Wilmer down the hill = $z$  km/min

Time taken up the hill = $w$ minutes

Distance can be calculated by multiplying the Speed with Time i.e.

The formula for distance is given as:

$Distance = Speed \times Time$

Distance up the hill = $y\times x =xy\ kilometers$

Distance down the hill = $z\times w =wz\ kilometers$

It is well known that, the distance up the hill and down the hill will be same.

Putting both the values equal, we get:

$xy=wz$