It will take 1 week for both classmates to catch up with each other
Each child has passed about 9 tests.
<u>Step-by-step explanation:</u>
<u>We know that:</u>
Q = 8 + 1(w)
S = 4 + 5(w)
Q = S
<u>Work:</u>
8 + w = 4 + 5w
=> 8 - 4 = -w + 5w
=> 4 = 4w
=> w = 1
<u>Hence, it will take 1 week for both classmates to catch up with each other. Now, let's substitute the value of w into the first equation to find how many tests have each child passed.</u>
Q = 8 + (w)
=> Q = 8 + 1
=> Q = 9
Hence, <u>each child has passed about 9 tests.</u>