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Question Number 133783 by bramlexs22 last updated on 24/Feb/21

To complete a job, 24 worker are  needed in 35 days. After they worked  for 8 days , half of the workers   stopped working . In order for  work to be completed , an additional  time of .... days needed  (a) 54     (b) 38    (c) 28     (d) 14  (e) 19

$$\mathrm{To}\:\mathrm{complete}\:\mathrm{a}\:\mathrm{job},\:\mathrm{24}\:\mathrm{worker}\:\mathrm{are} \\ $$$$\mathrm{needed}\:\mathrm{in}\:\mathrm{35}\:\mathrm{days}.\:\mathrm{After}\:\mathrm{they}\:\mathrm{worked} \\ $$$$\mathrm{for}\:\mathrm{8}\:\mathrm{days}\:,\:\mathrm{half}\:\mathrm{of}\:\mathrm{the}\:\mathrm{workers}\: \\ $$$$\mathrm{stopped}\:\mathrm{working}\:.\:\mathrm{In}\:\mathrm{order}\:\mathrm{for} \\ $$$$\mathrm{work}\:\mathrm{to}\:\mathrm{be}\:\mathrm{completed}\:,\:\mathrm{an}\:\mathrm{additional} \\ $$$$\mathrm{time}\:\mathrm{of}\:....\:\mathrm{days}\:\mathrm{needed} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{54}\:\:\:\:\:\left(\mathrm{b}\right)\:\mathrm{38}\:\:\:\:\left(\mathrm{c}\right)\:\mathrm{28}\:\:\:\:\:\left(\mathrm{d}\right)\:\mathrm{14} \\ $$$$\left(\mathrm{e}\right)\:\mathrm{19}\: \\ $$

Commented by mr W last updated on 24/Feb/21

for the remaining job after 8 days   24 workers need additional 27 days  to finish, but since only half of them  continue, they need double so much  time, i.e. 54 days.

$${for}\:{the}\:{remaining}\:{job}\:{after}\:\mathrm{8}\:{days}\: \\ $$$$\mathrm{24}\:{workers}\:{need}\:{additional}\:\mathrm{27}\:{days} \\ $$$${to}\:{finish},\:{but}\:{since}\:{only}\:{half}\:{of}\:{them} \\ $$$${continue},\:{they}\:{need}\:{double}\:{so}\:{much} \\ $$$${time},\:{i}.{e}.\:\mathrm{54}\:{days}. \\ $$

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