Answer:
The pumps separately can fill the empty tank in 16, 20 & 30 hours
=> Can fill in 1 hr together = 1/16 + 1/20 + 1/30
= (15 + 12 + 8) / 240
= 35/240
= 7/48
filled in 1hr 36 mins = 1 + 36/60 hrs = 1 + 3/5 = 8/5 hrs
= (8/5)(7/48)
= 7/30 filled in 1 hr 36 mins
1/3 was already filled
Hence filled = 7/30 + 1/3 = 17/30
in next 2hrs = 2(1/20 + 1/30) = 2(3 + 2) / 60 = 1/6
17/30 + 1/6 = 22/30 = 11/15
Left=1-11/15 = 4/15
Last pump n hrs n1/20 = 4/15 => n = 16/3 hrs 5 hrs 20 mins
7 AM +1 h 36 mins +2 hrs +5 hr 20 mins
= 3:56 PM
tank was totally filled up at 3:56 PM
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Answers & Comments
Answer:
The pumps separately can fill the empty tank in 16, 20 & 30 hours
=> Can fill in 1 hr together = 1/16 + 1/20 + 1/30
= (15 + 12 + 8) / 240
= 35/240
= 7/48
filled in 1hr 36 mins = 1 + 36/60 hrs = 1 + 3/5 = 8/5 hrs
= (8/5)(7/48)
= 7/30 filled in 1 hr 36 mins
1/3 was already filled
Hence filled = 7/30 + 1/3 = 17/30
in next 2hrs = 2(1/20 + 1/30) = 2(3 + 2) / 60 = 1/6
17/30 + 1/6 = 22/30 = 11/15
Left=1-11/15 = 4/15
Last pump n hrs n1/20 = 4/15 => n = 16/3 hrs 5 hrs 20 mins
7 AM +1 h 36 mins +2 hrs +5 hr 20 mins
= 3:56 PM
tank was totally filled up at 3:56 PM
Learn More:
A pipe can fill a water tank in 1 hour .i) What part of the tank is filled ...
brainly.in/question/12394488
Tap a fills a tank in 3 hours outlet pipe B and C can empty the tank in...
brainly.in/question/7518135
Two pipes a and b can separately fill in 15 and 10 minutes