Question

There are two taps ,first is used to fill up bucket ( for filling the bucket it take 3 days ) and from second tap is used to empty the bucket (it takes 5 days for emptying the bucket ) . If both the taps are open at the same time then how much days it will take to fill the bucket .

Answer 1

Step-by-step explanation:

1st tap fill bucket in =3days

1st tap fill in 1 days =1/3 of bucket

2nd tap empty bucket in=5 days

2nd tap empty in 1 day =1/5 of bucket

Both tap are opened then bucket fill in 1 days

= 1/3-1/5

=2/15 of bucket

Time taken to fill bucket =1/2/15

=1*15/2

=15/2

=7integer1/2

Answer 2

$\huge \text{Required \: Answer}$

Let :-

• The tap which is used to fill the bucket be big tap
• The tab which is used to empty the bucket be small tap

Given :-

• Bucket filled by the bigger tap = 3 days
• Bucket empty by the small bucket = 5 days

Condition given :-

• If both taps open at the same time

To find :-

• Days taken to fill the bucket ?

Step by step solution :-

In 3 days big tap fills = 1 bucket

In one day big tap will fills = ⅓ part of bucket

In 5 days small tab empty = 1 bucket

In one day small tap will empty = ⅕ part of bucket

Water filled by the bucket in one day

$\sf :\longrightarrow \dfrac{1}{3} - \dfrac{1}{5}$

$\sf :\longrightarrow \dfrac{5 - 3}{15}$

$\sf :\longrightarrow \dfrac{2}{15}$

So we know that part of bucket fills in one day is 2/15 so the full bucket will be fill in __ days .

$\sf :\longrightarrow \dfrac{15}{2}$

$\sf :\Longrightarrow \orange{7.5}$

Hence , There are two taps ,first is used to fill up bucket ( for filling the bucket it take 3 days ) and from second tap is used to empty the bucket (it takes 5 days for emptying the bucket ) . If both the taps are open at the same time then 7.5 days will take to fill the bucket .