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​If Raju is thrice as good workman as Ravi and takes 20 days less than him to complete a piece of work, then find the time taken by Ravi to complete t
Question

If Raju is thrice as good workman as Ravi and takes 20 days less than him to complete a piece of work, then find the time taken by Ravi to complete the work.

A.

20 days

B.

30 days

C.

10 days

D.

40 days

Correct option is B

Given:

Raju is thrice as good a workman as Ravi.

Raju takes 20 days less than Ravi to complete the work.

Solution:

Let x be the time (in days) taken by Ravi to complete the work.

Since, Raju is thrice as good as Ravi, 

Raju takes x3\frac{x}{3}​ days to complete the work 

According to the problem;

x3=x20\frac{x}{3} = x - 20 

x=3(x20)x = 3(x - 20) 

x=3x60x = 3x - 60 

x3x=60x - 3x = -60  

2x=60-2x = -60 \\ 

x=602=30x = \frac{-60}{-2} =30 

Thus, the time taken by Ravi to complete the work is 30 days.

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