Question

50 painters can paint 3 buildings in 6 days. Painters are paid $20/hour each day and they work for 8 hours per day. If more painters are hired to paint 2 buildings in 1 day. How much money will be needed to pay them?

Answer 1

$32000 need to pay the painters

Explanation:

Given

50 painters paint 3 buildings in 6 days and are paid $20/hour and they work for 8 hours

let
`M_1` = 50,
`W_1`=3,
`D_1`=6,
`H_1`=8

Now more painters are hired to paint 2 buildings in 1 day.

Let the number of painters be
`M_2`,
`W_2`=2,
`D_2`=1,
`H_2`=8

Now by time Work formula we get

`(M_1 D_1H_1)/(W_1)= (M_2D_2H_2)/(W_2)`

Substituting the value we get.

`(50*6*8)/(3)=(M_2*1*8)/(2)`

`\therefore`
`M_2`= 200 painters

Now Painters are paid $20/ hour and had worked for 8 hour and completed in 1 day

then Money paid for 1 painter for 8 hours and for 1 day = 20
`*`8 =160

`\therefore` Money paid to 200 painters = 200
`*` 160= $32000