Question

56 workers can finish a piece of work in 14 days. If the work is to be completed in 8 days, then
how many extra workers are required?
(a) 36
(b) 48
(c) 44
(d) 42
(e) 32​

Answer 1

Answer:

(a) 36

Step-by-step explanation:

56/14 = x/8

x = 56*8/14

therefore, x= 36

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Answer 2

Here men required to perform a work is M and days required is D. As the quantity of the job or work is constant - Number of days D is inversely proportional to men to be engaged M.

D ∝ 1/M , when work is same or constant

D= K/M [K is proportionality constant]

M*D = K …..(1)

When M = 56 , D=14, Therefore K= 56*14

From (1) M* D = 56*14, When D=8

M*8 = 56*14

M= 56*14/8 = 98 , To complete the same work in 8 days , additional man power required is

98 -56 = 42

Additional men required is 42