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Person A can paint the​ neighbor's house 3 times as fast as Person B. The year A and B worked​ together, it took them 10 days. How long would it take each to paint the​ house?

Bro I don't know if I'm dumb or not but I literally can't figure this out. Please help my struggling self wcdfvrd

Respuesta :

sqdancefan

Answer:

  • A: 13 1/3 days
  • B: 40 days

Step-by-step explanation:

If person A can paint the house in 'a' days, then person B takes 3a days. Each day, the total amount of house painted when they work together is ...

  1/a + 1/(3a) = 1/10

  4/(3a) = 1/10 . . . combine terms

  40 = 3a . . . . . . . cross multiply

  a = 40/3 = 13 1/3 . . . . . divide by 3

A can paint the house in 13 1/3 days.

B can paint the house in 40 days.

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