Question

Divya and ranu together can do piece of work in 15 days Divya alone can finish the work in 20 days in how many days can ranu alone finish the work​

Answer 1

Answer:

I think the same days I mean 20 days because here is together

Answer 2

Answer:

• Divya + Ranu = 15 days
• Divya = 20 days
• Ranu = ?

Let the total unit of work be LCM of 15 and 20 i.e. 60 units

• Divya & Ranu together do work in 1 day :

⇒ D + R = Total Units/Days taken

⇒ D + R = 60/15

⇒ D + R = 4 units/day

• Divya do work in 1 day :

⇒ D = Total Units/Days taken

⇒ D = 60/20

⇒ D = 3 units/day

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To find unit per day work done by Ranu we can subtract Divya from work together.

• Ranu can do work in :

⇒ R = Total Units/Day taken

⇒ Day taken = Total Units/R

⇒ Day taken = 60/[(D + R) - D]

⇒ Day taken = 60/[4 - 3]

⇒ Day taken = 60/1

⇒ Day taken = 60

∴ Ranu can alone do work in 60 days.