A certain number of people were supposed to complete a work in 24 days. The work , however,took,32 days since 9people were absent through out. how many people were supposed to be working originally
Answers
Given : A certain number of people were supposed to complete a work in 24 days.
The work , however,took,32 days since 9people were absent through out.
To Find : how many people were supposed to be working originally
Solution:
People supposed to be working originally = P
supposed to complete a work in 24 days.
Hence total work = 24P
9people were absent
Hence people worked = P - 9
Work completed in 32 days
Hence total work = 32(P - 9)
Equate total work
32(P - 9) = 24P
=> 32P - 32 * 9 = 24 P
=> 8P = 32 * 9
=> P = 4 * 9
=> P = 36
36 people were supposed to be working originally
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