Question

One month, ruby worked 8 hours more than isaac, and svetlana worked 4 times as many hours as ruby. together they worked 136 hours. find the number of hours each person worked.

Answer 1

Let Issac work for x hours, and Ruby works 8 hours more than of Issac, so Ruby work for $(x+8)$ hours.

And Svetlana worked four times of Ruby, therefore Svetlana worked for

$4(x+8) hours$

And total hours they worked together is 136. That is

$x+x+8 + 4(x+8) = 136 \\ x+x+8 +4x+32=136 \\ 6x+40 =136 \\ 6x=96 \\ x =16 hours$

So Issac worked for 16 hours, Ruby worked for 24 hours and Svetlana worked for 24 times 4 equals 96 hours .