Time and Work Practice Test 5 with solutions

Let the time taken by A and B be x and 2x respectively.
Work done by A and B in one day =

1

x

+

1

2x

=

2+1

2x

=

3

2x

=

6

2x

=

3

x

Time taken by A and B be together =

2x

3

Work done by A, B and C in one day
=

1

x

+

1

2x

+

3

2x

=

2+1+3

2x

=

6

2x

=

3

x

So, time taken by all the three of them = (

x

3

) days
Now,

x

3

= 3
⇒ x = 9 days
So, time taken by A individually = 9 days
Time taken by B individually = 18 days
And time taken by C individually =

2

3

×9 = 6 days