Question

Will's Widget Works can produce 2 and a half tons of widgets in a 8 hour work day. McGee Manufacturing,Inc needs to order 17 tons of Widgets. How many work days will it take Will's Widgets to fill this order?

Answer 1

fraction form: 6 4/5 work days

decimal form: 6.8 work days

Explanation:

- 8 hours work day = 2.5

if you want 17 tons than,

written proportionally: 2.5 / 8 = 17 / x

x represents how many it will take to reach 17 tons

2.5 / 8 = 17 / x :

cross multiply → (2.5) * x = 2.5x and 8 * 17 =136

2.5x = 136

you want to get x alone so divided both sides by 2.5

2.5x / 2.5 = 136 / 2.5

x = 54.4

so you would need 54.4 hours to produce 17 tons

To find how many work days divided the amount of hours by 8 since 1 work day equals 8 hours

54.4 / 8 = 6.8 work days