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Ravi can alone build the wall in 5 days.
Sanjay can alone build the wall in 8 days.
Mukund can alone build the wall in 10 days.
Due to climatic changes the individual time required for each to complete the work has increased to 20%, 25% & 50% respectively.
To find: time required to build the wall if Ravi, Sanjay & Mukund work together.
Since the individual time required to build the wall has increased due difficult terrain and slushy conditions at site.
The new time taken by three of them individually will be
Ravi can alone build the wall in = (120/100) * 5 = 6 days.
Sanjay can alone build the wall in = (125/100) * 8 = 10 days.
Mukund can alone build the wall in = (150/100) * 10 = 15 days.
So, in 1 day
Ravi can do = (1/6)th of work
Sanjay can do = (1/10)th of work
Mukund can do = (1/15)th of work
∴Total work done in 1 day if three of them work together = 1/6 + 1/10 + 1/15 = 10/30 = 1/3
By unitary method, we can get
If 1/3rd of whole work is done in 1 day.
Then,
The whole work will be done in = 1/(1/3) = 3 days.
∴Total time required by Ravi, Sanjay & Mukund to build the wall, if they work together = 3 days.
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