If an auto mechanic typically spends 50 minutes repairing a car, how many cars can the auto mechanic work on in a 7.5 hour workday?

Question

Quizplus · Accepted Answer

This is a ratio/proportion problem. We have 50 minutes spent on every 1 car. So, if they work (7.5 hours * 60 minutes = 450) 450 minutes, how many cars will they work on? We can write that as a proportion: 50: 1 :: 450: x Step 1: Rewrite the proportion as a fraction. ⁵⁰⁄₁ = ⁴⁵⁰⁄_x Step 2: Cross multiply. 50 * x = 450 * 1 Step 3: Simplify. 50 * x = 450 * 1 50x = 450 Step 4: Simplify by dividing both sides of the equation by 50. 50x = 450 50x ÷ 50 = 450 ÷ 50 x = 9

If an Auto Mechanic Typically Spends 50 Minutes Repairing a Car