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
2 thoughts on “56 workers can finish a piece of work in 14 days. If the work is to be completed in 8 days, then<br />how many extra workers are r”
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
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
Answer:
(a) 36
Step-by-step explanation:
56/14 = x/8
x = 56*8/14
therefore, x= 36
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