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?

Question

asked Dec 13, 2022 230k views

1 Answer

Dima Patserkovskyi · Answer 1 · 2022-12-17T02:53:53+0000

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

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