Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

sabika13

  • 3 years ago

When they work together, Stuart and Lucy can deliver flyers to all the hokes in their neighbourhood in 42 min. When Lucy works alone, she can finish the deliveries in 13 min less time than Stuart can when he works alone. When Staurt works alone, how long does he take to deliver the flyers?

  • This Question is Closed
  1. Hero
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Formula for working together: \[\frac{S \times L}{S + L} = t \] S = Stuart's time L = Lucy's time t = Time it takes when Stuart and Lucy work together In this case: S = x L = x - 13 t = 42 Thus: \[\frac{x(x-13)}{x + x - 13} = 42\] After solving for x, you should get: x = 91

  2. sabika13
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can u explain the formula to me please?

  3. Hero
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    This is the only way I can explain it: Michael can complete a task in 5 minutes. Nancy can complete the same task in 7 minutes. How much time would it take if they did the job together? Using the "Time Working Together" formula: \[\frac{ M \times N}{M + N} = t\] Insert the given values M = 5 and N = 7: \[\frac{5 \times 7}{5 + 7} = t\] Now solve for t: \[\frac{35}{12} = t\] \[t = 2.91 \approx 3\] Therefore, if they work together, Michael and Nancy can complete the task in approximately 3 minutes.

  4. Hero
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @sabika13

  5. sabika13
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you so much!!!

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy