Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then.

1 answer:

5 0

R = 3S

R + 6 = 2 (S+6)

Substitute the first equation in the second one:

(3S) + 6 = 2 (S + 6)

3S + 6 = 2S + 12

S + 6 = 12

<u>R = 18
</u>S = 6<u>
</u>
Check:

R is 3 times S now.

In 6 years, R will be (18 + 6) = 24, S will be (6 + 6) = 12.

24 = 2 x 12 yay

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It takes four minutes to fill a bathtub if the hot and cold water taps are both on and the stopper is in. It takes six minutes t

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Answer:

12 minutes

Step-by-step explanation:

Since it takes 4 minutes to fill the bathtub with both taps on and stopper is in then for each minute the 2 taps can fill up to a quarter (1/4) of the tub:

Similarly, it takes 6 minutes to drain the tub with both taps off and the stopper is out. This means for each minute the stopper can drain one sixth (1/6) of the tub.

Therefore, when both taps are on and the stopper is out, then for each minutes, the amount of water remaining in the tub is the water flowing in minus the water draining out

$\frac{1}{4} - \frac{1}{6} = \frac{3}{12} - \frac{2}{12} = \frac{1}{12}tub$