Question

Katy has 17 machines she can program to produce 1000 bolts. She knows that 8 machines would take 19 hours to produce 1000 bolts. Show that Katy has enough machines to produce 1000 bolts in less than 9 hours.​

Answer 1

Explanation:

Given:

8 machines would take 19 hours to produce 1000 bolts

• machine and hour are direct proportional to bolts
• machine is inverse proportional to hour

machine₁ × hour₁ = machine₂ × hour₂

8 × 19 = 17 × hour₂

hour₂ = 8 × 19 ÷ 17

= 8.94 hrs → less than 9 hours