How much time will be required by 1 single large pipe to fill the pool in the following case? Four small pipes can fill a swimming pool in 16...

There are 4 pipes to fill a swimming pool in 16
min.

==> 1 small pipe will fill the pool in 16*4 =
64 min.

==> after 4
minutes

1  pool  = 64 min

v   
= 1 min.

==>  v = 1/64  ( the portion of the pool
filled with 1 small pipe in one minute)

==> v= 4/64
= 1/16 ( the potion will be filled with 4 small pipes in 1
min)

==> 1/4 the pool will be filled in 4 minutes
with 4 small pipes.

==> 3/4 the pool will be filled
with 4 larger pipes in 4 minutes.

==> (3/4)/4 = 3/16
will be filled with 4 larger pipes in 1 minutes.

==>
(3/16)/4 will be filled with 1 large pipe in 1
minute.

==> 3/64 of the pool will be filled with 1
large pipe in 1 minute.

==> To fill the pool we will
need 64/3*3/64 = 1 v

==> we will need 64/3
minutes.

==> 21.3 minutes required to
fill the pool with one large pipe.