Ask Question
18 April, 03:20

Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 54 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets? A4 B6 C8 D10 E12

+1
Answers (1)
  1. 18 April, 03:29
    0
    Step-by-step explanation:

    Work done = rate * time

    let time taken by X to produce w widgets be t days

    rate = w/t

    Since X take 2 days longer rate for Y would be

    rate = w/t-2

    combined rate is (w/t+w/t-2)

    Since in 3 days both x and y can produce 5w/4

    (w/t+w/t-2) = 5w/4

    5t2 - 34t + 24=0

    (t-6) (t-4/5) = 0

    t=6 or t=4/5 (not possible because t-2 (time taken by Y) comes out to be - 6/5 which is not possible)

    so t=6 days which is the time taken by X to produce w widgets

    so time taken to produce 2w widgets will be 12 days.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers