Question

Andrew can paint the​ neighbor's house 6 times as fast as The year and worked​ together, it took them 5 days. How long would it take each to paint the​ house?

Answer 1

Answer:
`(35)/(6)\ \text{days},\ 35\ \text{days}`

Explanation:

Given

Andrew can paint times faster than the other

Suppose the other person take 6x days

So, andrew takes only x days to paint alone

When they work together, it took them 5 days i.e.

`\Rightarrow (1)/(x)+(1)/(6x)=(1)/(5)\\\\\Rightarrow (6+1)/(6x)=(1)/(5)\\\\\Rightarrow x=(35)/(6)\ \text{days}`

So, time taken by the to finish individually is given by

`\Rightarrow \text{Andrew= }(35)/(6)\ \text{days}\\\\\Rightarrow \text{Other Person}=6* (35)/(6)\\\\\Rightarrow \text{Other Person}=35\ \text{days}`