1. Education

Rate Problems - How Long Will it Take if Gene, Michael, and Janet Work Together

From

2 of 4

Explanation: Use the Distance Formula

Consider this job as a distance that Gene, Michael, and Janet are completing together.

Total Distance of the Trip = Gene's Distance + Michael's Distance + Janet's Distance

-or-

Total Job = Gene's Portion + Michael's Portion + Janet's Portion

Distance Review

distance = rate * time

-or-

d = rt

What Do You Know?

  • d = 1 (There is only 1 job.)
  • Gene can complete the job in 5 hours.
  • Michael can complete the job in 4 hours.
  • Janet can complete the job in 10 hours.

1 = Gene's rate * t + Michael's rate * t + Janet's rate * t

What's Missing?

  • Gene's rate
  • Michael's rate
  • Janet's rate
  • t

©2013 About.com. All rights reserved.