Question

One month ruby worked 4 hours more than Isaac and svetlana worked 4 times as many hours as ruby. Together they worked 92 hours. Find the number of hours each person worked

Answer 1

Let us assume that the number of hours Issac worked = X hours

Since Ruby worked 4 hours more than Issac, the number of hours Ruby worked = X+4 hours

Now, Svetlana worked 4 times as much as ruby. So the number of hours Svetlana worked = 4*(X+4)

The total number of hours worked by all of them together is 92 hours.

So, we frame the equation as follows:

X + (X+4) + 4*(X+4) = 92

X + X + 4 + 4X + 16 = 92

6X + 20 = 92

6X = 72

X = 72/6 = 12 hours

So Issac worked for 12 hours

Ruby worked for X+4 = 12+4 = 16 hours

and Svetlana  worked for 4*(X+4) = 4*(12+4) = 4*16 = 64 hours