Question

A tap can fill an empty tank in 48 minutes whereas another tap can empty the full tank in 2 hours.if both taps are opened at 11:40 am when will the empty tank be filled

Answer 1

Answer:

1 pm

Step-by-step explanation:

1/48-1/20

=5/240-2/240

=3/240

=80

11:40+80

=1 pm

Answer 2

Answer:

At 1pm the tank will be filled.

Step-by-step explanation:

First tap = +48 min

Second tap = -2 hrs = -2(60) = -120 min

- denotes it empty the tank

+ denotes it fill the tank

take the LCM of 48 and 120 = 240

Capacity of first tap = +5

Capacity of second tap = -2

if both taps are opened simultaneously,

in first hour, it will be filled 5-2=3 parts

3(x) = 240

x = 240/3

x= 80 min

the tank will be filled in 80 min

so if the taps are opened at 11:40 am then,

after 80 minutes it will be filled, that is, at 1 pm