we have a bathtub that fills with water in 6 minutes if we pull the plug bath empties in 10 minutes
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This is a question on ratios and proportion.
It takes the tap:
6 minutes to fill
10 minutes to empty.
In 1 minute :
1/6 is filled and 1/10 is emptied.
Water retained :
1/6 - 1/10 = 5/30 - 3/30 = 2/30
= 1/15
Time taken to fill the tank when both taps are open :
Reciprocal of 1/15
This equals 15 minutes
It takes the tap:
6 minutes to fill
10 minutes to empty.
In 1 minute :
1/6 is filled and 1/10 is emptied.
Water retained :
1/6 - 1/10 = 5/30 - 3/30 = 2/30
= 1/15
Time taken to fill the tank when both taps are open :
Reciprocal of 1/15
This equals 15 minutes
Answered by
0
It takes the tap:
6 minutes to fill
10 minutes to empty.
So in 1 minute :
1/6 is filled and 1/10 is emptied.
Water retained in the chamber :
1/6 - 1/10 = 5/30 - 3/30 = 2/30
= 1/15
Time taken to fill the tank when both taps are open is equal to reciprocal of 1/15
This equals 15 minutes.
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