Question

A can do a work in 25 days and b do it in 20 days. A started work and after 10days b joined it . Then in how many days they finished the work

Answer 1

in 15 days they finished the work is it right or not

Answer 2

Step-by-step explanation:

Answer:

Let B worked for n Days along with A.

A = 25 Days

B = 20 Days

• According to the Question :

⇒ Days/A + Days/B = Total Work

⇒ (10 + n)/25 + n/20 = 1

⇒ [4(10 + n) + 5n]/100 = 1

⇒ 40 + 4n + 5n = 100

⇒ 9n = 100 - 40

⇒ 9n = 60

⇒ n = 60/9

⇒ n = 20/3

⇒ n = 6⅔ Days

• Total Days Taken to Complete Work :

⇒ 10 + 6⅔ Days

⇒ 16⅔ Days

∴ They completed work in 16⅔ Days.