A cistern can be filled by one tap in 2½ hours and by another in 3¾ hours. How long will the cistern take to fill, if they are opened together?
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1
Step-by-step explanation:
We have,
Time taken by the first tap to fill the cistern =4 hours.
Time taken by the second tap to fill the cistern =3 hours
Work done by the first tap in 1 hour =
4
1
Work done by the second tap in 1 hour =
3
1
Thus, work done by both the taps in 1 hour =
4
1
+
3
1
=
12
3+4
=
12
7
Both the taps together will fill the cistern in
7
12
hours.
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