steve's bathtub, when full, will drain in 12 minutes. The hot water tap takes 6 minutes to fill the tub, and the cold water tap takes 4 minutes to fill the tub. If steve opens both taps but forgets to put in the plug, in how many minutes will the tub be filled?
2007-03-21 17:00:05 · 5 answers · asked by Elizabeth35 4 in Science & Mathematics ➔ Mathematics
3 minutes.
If you assume the tub has 12 "units" in it, the rate of draining is 1 unit per minute (12 units/12 minutes). The hot tap fills 2 units per minute (12 units/6 minutes) and the cold tap fills 3 units per minute (12 units/4 minutes). Hot and cold minus drain equals
2+3-1=4 units/minute. Since the tub is 12 units, it'll take 3 minutes at this rate.
Good luck.
2007-03-21 17:07:39 · answer #1 · answered by CNS Mike 2 · 0⤊ 0⤋
drains at 1/12 tubs per min
water comes in at 1/6 + 1/4 = 5/12 tubs per min
net fill rate is 4/12 or 1/3 tubs per min
1/3 tubs per min will fill the tub in 3 minutes
2007-03-22 00:06:07 · answer #2 · answered by t0rs0 1 · 0⤊ 0⤋
If he fogets to put in the plug, the water will drain out so the answer is the tub would not be filled
2007-03-22 00:07:58 · answer #3 · answered by Taker 07 2 · 0⤊ 1⤋
1/(1/6+1/4-1/12)=3 minutes
2007-03-22 00:12:13 · answer #4 · answered by Rob M 4 · 0⤊ 0⤋
OMG maths nerds. I am going to give you a maths lesson, first i will subtract your clothes, then add you to my bed, divide your legs and then i will give you a square route. LOL
2007-03-22 00:11:57 · answer #5 · answered by Anonymous · 0⤊ 1⤋