One month Ruby worked six hours more than Isaac, and Svetlana worked four times as many hours as Ruby. Together they worked 126 hours. Find the number of hours each person worked.

Question

Mathematics

Jan

14 December, 23:01

One month Ruby worked six hours more than Isaac, and Svetlana worked four times as many hours as Ruby. Together they worked 126 hours. Find the number of hours each person worked.

+2

Answers (1)

Know the Answer?

Nyla Li · Answer 1

Let us assume that Isaac worked for X hours in a month.

Then the amount of time Ruby worked in the month = (X + 6) hours

The amount of time Svetlana worked in the month = [4 (X + 6) ] hours

The total amount of time worked by Ruby, Isaac and Svetlana in the whole month = 126 hours

Then the equation to find out the time worked by each othe individuals in the given question is

X + (X + 6) + [ 4 (X + 6) ] = 126

Then

X + X + 6 + 4X + 24 = 126

6X + 30 = 126

6X = 126 - 30

6X = 96

X = 96/6

= 16

So Isaac has worked for a total time of 16 hours in this month.

Amount of time Ruby worked in the month = (X + 6) hours

= (16 + 6) hours

= 22 hours

Amount of time svetlana worked in this month = (4 * 22) hours

= 88 hours.