16 workers are working to construct a wall and it will take 48 hours to build it. But due to some accident, 4 workers die. Now, the contractor wants the wall to be built in 32 hours. How many more workers are required to complete the job?
A
10
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B
12
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C
13
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D
26
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Solution
The correct option is B 12 Given that 16 workers take 48 hours to build the wall. If the time is reduced to 32 hours, then let the number of workers required be y.
As number of workers and time required are in inverse proportion,product of these will always be a constant.
⟹16×48=y×32 y=24
Since 4 workers died in an accident, the remaining number of workers at the site is 16-4 = 12. Thus, additional number of workers required =24−12=12.