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. H

Question

3 years ago

10

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. H

ow 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

Mathematics

1 answer:

Angelina_Jolie [31] · Answer 1 · 2021-12-24T12:01:26+03:00

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.

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. H

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. H