Question Number 95502 by bobhans last updated on 25/May/20
$$\mathrm{6}\:\mathrm{man}\:+\:\mathrm{8}\:\mathrm{woman}\:\Rightarrow\mathrm{working}\:\mathrm{a}\:\mathrm{job}\:\mathrm{in}\:\mathrm{10}\:\mathrm{days} \\ $$$$\mathrm{26}\:\mathrm{man}\:+\:\mathrm{48}\:\mathrm{woman}\:\Rightarrow\:\mathrm{in}\:\mathrm{2}\:\mathrm{days} \\ $$$$\mathrm{if}\:\mathrm{15}\:\mathrm{man}\:+\:\mathrm{20}\:\mathrm{woman}\:\Rightarrow\:??\:\mathrm{days} \\ $$
Commented by bobhans last updated on 25/May/20
$$\mathrm{my}\:\mathrm{answer}\:\mathrm{4}\:\mathrm{days}.\:\mathrm{it}\:\mathrm{correct}? \\ $$
Commented by john santu last updated on 25/May/20
$$\mathrm{yes}.\:\mathrm{correct}\: \\ $$
Commented by bobhans last updated on 25/May/20
$$\mathrm{thank}\:\mathrm{you} \\ $$
Answered by john santu last updated on 25/May/20
$$\left(\mathrm{1}\right)\left(\mathrm{6p}+\mathrm{8q}\right).\mathrm{10}\:=\:\mathrm{s} \\ $$$$\left(\mathrm{2}\right)\:\left(\mathrm{26p}+\mathrm{48q}\right).\mathrm{2}\:=\:\mathrm{s} \\ $$$$\left(\mathrm{3}\right)\left(\mathrm{15p}+\mathrm{20q}\right).{x}\:=\:{s} \\ $$$$\Rightarrow\mathrm{10}\left(\mathrm{6p}+\mathrm{8q}\right)\:=\:\mathrm{2}\left(\mathrm{26p}+\mathrm{48q}\right) \\ $$$$\mathrm{20}\left(\mathrm{3p}+\mathrm{4q}\right)\:=\:\mathrm{4}\left(\mathrm{13p}+\mathrm{24q}\right) \\ $$$$\mathrm{15p}+\mathrm{20q}\:=\:\mathrm{13p}+\mathrm{24q} \\ $$$$\mathrm{2p}\:=\:\mathrm{4q}\:\Rightarrow\:\mathrm{p}\:=\:\mathrm{2q}\: \\ $$$$\Rightarrow\left(\mathrm{15}.\mathrm{2q}+\mathrm{20q}\right).{x}\:=\:\mathrm{2}\left(\mathrm{26}.\mathrm{2}{q}+\mathrm{48}{q}\right) \\ $$$${x}\:=\:\frac{\mathrm{2}×\mathrm{100}}{\mathrm{50}}\:=\:\mathrm{4}\:{days} \\ $$
Commented by i jagooll last updated on 25/May/20
$$\mathrm{yesss} \\ $$