Question

Rahul took 2 (1/2) hour to complete a work. Gunjan took 1/4 hour less to complete the same work. How long did Gunjan spend to complete the work? How long did they both spend to complete the work?

Answer 1

Answer:

Let,

Rahul takes to complete the job in x hr

Manick takes to complete the job in

2

x

hr

Sachin takes to complete the job in

3

x

hr

∴ Amount of the job Rahul can complete in 1 hr =

x

1

Amount of the job Manick can complete in 1 hr =

2

x

1

=

x

2

Amount of the job Sachin can complete in 1 hr =

3

x

1

=

x

3

∴ The amount of the job they can complete in 4 days,

x

1

+

x

2

+

x

3

=

4

1

⇒

x

6

=

4

1

⇒x=24

Hence, Rahul can complete the job in 24 hrs,

Manick can complete the job in =

2

24

=12 hrs,

and Sachin can complete the job in =

3

24

=8 hrs

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