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5 Responses to “How many mintues does it take if both faucets are used?”

1. gopal on July 27th, 2009 at 2:43 pm

   timetaken if both faucets are used=1/[1/4+1/3]
   =1/(7/12)
   =12/7
   =1 5/7 min

2. kellenraid on July 27th, 2009 at 2:43 pm

   Let x = the time it takes to fill the tub, then
   x/4 + x/3 = 1
   7x = 12
   x = 12/7 minutes

3. Gemelli2 on July 27th, 2009 at 2:43 pm

   use the idea that
   time/ work rate = (1) job
   for instance,,,,,the hot water takes 4 min to fill a tub
   1/4 * time = 1 job
   in one hour…1 * 1/4 –> 1/4 full
   in 4 hours…4 * 1/4 –> 1 tubfull

   therefore the formula would look something like this

   t/4 + t/3 = 1
   mult by lcd
   3t + 4t = 12
   t = 12/7
   t= 1/ 5/7 min

4. Science Guy on July 27th, 2009 at 2:43 pm

   Assume the tub holds 120 gallons. The hot water tap flows at 30 gallons per minute, the cold at 40 gallons per minute.

   Assuming the pipes leading to the faucets do not impose any restrictions, using both should flow at 70 gallons per minute.

   70 gallons per minute will take just under 1 minute 43 seconds.

5. gta2guy65 on July 27th, 2009 at 2:43 pm

   Hot water faucet = 1/4 of tub per minute
   Cold water faucet = 1/3 of tub per minute

   Hot + cold = 7/12 of tub per minute
   Hot + cold will take 12/7 minutes = 1.714286 minutes = about 1 min 43 s

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