Adil's bathroom has two taps next to each other and a bucket is kept under them. Tap 1 alone (at full flow) can fill HALF the bucket in 2 minutes and Tap 2 alone (at full flow) can fill HALF the bucket in 3 minutes. If both taps are turned on (to full flow), in how much time will the bucket get filled completely?
Answers
Given :- Tap 1 alone (at full flow) can fill HALF the bucket in 2 minutes and Tap 2 alone (at full flow) can fill HALF the bucket in 3 minutes.
To Find :- In how much time will the bucket get filled completely ?
Solution :-
→ Tap 1 alone can fill half bucket in = 2 minutes
So,
→ Tap 1 alone can fill full bucket in = 2 × 2 = 4 minutes .
then,
→ Tap 1 per minute fill bucket = (1/4) part
similarly,
→ Tap 2 alone can fill half bucket in = 3 minutes
So,
→ Tap 2 alone can fill full bucket in = 2 × 3 = 6 minutes
then,
→ Tap 2 per minute fill bucket = (1/6) part
therefore,
→ Tap 1 and Tap 2 fill bucket in 1 minute = (1/4) + (1/6) = (3 + 2)/12 = (5/12) part .
hence,
→ Total time taken by both tank to fill full bucket = 1/(5/12) = (12/5) minutes = 2.4 minutes (Ans.)
∴ Both taps can fill the bucket completely in 2.4 minutes .
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