Hello,
Let the work done by Rudra, Sanjay and Tiger in one day individually be x,y,z respectively.
Therefore, from question, 48x = 60y = 72z. Let this be equation ((1)).
For initial 9 days, work done is 9(x+y+z).
Next 6 days, work done is 6(x+y).
The rest of the days, say M days, work done is M * x.
Adding all these, we get, (M+9+6)x + (9+6)y + 9z.
By using equation 1, convert this into only "x" terms.
Thus we get, (M+9+6+11.2+6)x. This work is equal to the total work, i.e 48x.
Thus, solving for M, we get, (M+32.2)x=48x
M=15.8. Rounded off, we get M = 16 days.
Therefore total days required is 16+9+6= 31 days.
Hope this helps.
Comment for clarification.
Thanks.
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