Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
Please explain how you got your answer! Thank You!!!
2006-08-29 06:24:46 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
Let's say that the pool has 900 gallons (I chose this, because you can divide it easily by 30, 45, and 90)
Jim can fill the pool in 30 minutes, so he fills it at 30 gallons/minute.
Sue can fill the pool in 45 minutes, so she fills it at 20 gallons/minute.
Tony can fill the pool in 90 minutes, so he fills it at 10 gallons/minute.
Jim + Sue + Tony = 60 gallons/minute
900 gallons / 60 gallons/minute = 15 minutes (solution)
2006-08-29 06:30:22 · answer #1 · answered by ³√carthagebrujah 6 · 0⤊ 0⤋
30 + 45 + 90 (that's 1 1/2 hrs in min.) =165 min. Total number of minutes all people combined divided by number of people (3).
165 divided by 3 = 55 minutes
2006-08-29 15:09:52 · answer #2 · answered by Just Me 6 · 0⤊ 0⤋
reciprocal of 1/30 +1/45 +1/90=>reciproal of 3/90+2/90+1/90
=90/6=15 minues
i minutes work of these people will be 1/30,1/45 and 1/90
2006-08-29 13:29:35 · answer #3 · answered by raj 7 · 0⤊ 0⤋
15 minets
2006-08-29 13:31:28 · answer #4 · answered by Mim 7 · 0⤊ 0⤋