Question

Rakesh takes thrice the time in completing the work as taken by mukesh and murari together to complete the same work .if all of them can complete the same work in 15 days then how many days will rakesh take alone to complete the same work

Answer 1

Let the time taken by Rakesh to complete the work be x days.

Let the time taken by Mukesh and Murari be y and z days respectively.

3x = (y+z)

One day Share of work of Rakesh Mukesh and Murari

1 / x + 1 / y + 1 / z = 1 / 15
1 / x + (y+z) / yz = 1 / 15
1 / x + 1 / 3x = 1 / 15
( 3 + 1 ) / 3x = 1 / 15
4 / 3x = 1 / 15
3x / 4 = 15
x = ( 15 × 4 ) / 3
x =20

ANSWER
Rakesh takes 20 days to complete the work ...

Mark as BRAINILIEST

Answer 2

Answer:

Step-by-step explanation:

Let Rakesh , Mukesh and Murari each take a,b and c days to complete the work

Then 3a=(b+c)

All three take 15 days to complete the work

15(a+b+c)=1

15a+15(b+c)=1

15a+15*3a=1

15a+45a=1

60a=1

a=1/60

60A=1

Hence Rakesh takes 60 days alone to complete the same work