Inverse variation occurs when two variables have a constant product.
practice problem 2) The speed of a laundry truck varies inversely with the time it takes to reach its destination. If the truck takes 3 hours to reach its destination traveling at a constant speed of 50 miles per hour, how long will it take to reach the same location when it travels at a constant speed of 60 miles per hour?
Set up the equation. Since this is an inverse variation relationship know that speed × time equals a constant.
Step 1) 3(50) = x60
Solve the equation that you set up in step 1
3(50) = x60
150 = x60
150 ÷ 60 = x
2.5= x
The answer is 2.5 hours