Question

[i] Rajan can do a piece of work in 24 days, while Amit can do it in 30 days.
In how many days can they complete it if they work together?

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Answer 1

Answer :

Rajan and Amit can complete the work together in 13.33 days.

Step-by-step explanation :

To Find,

• In how many days can they complete it if they work together?

Solution,

Given that,

• Rajan can do a piece of work in 24 days

• Amit can do a piece of work in 30 days

Rajan's 1 day's work = 1/24

Amit's 1 day's work = 1/30

Therefore,

( Rajan + Amit )'s 1 day's work = ( 1/24 + 1/30 )

» ( 1/24 + 1/30 )

» ( 5 + 4 / 120 )

» ( 9/120 )

» ( 3/40 )

» 1/0.075

» 13.33

∴ Hence, they can complete the work together in 13.33 days.