Question and Answers Forum

All Questions      Topic List

UNKNOWN Questions

Previous in All Question      Next in All Question      

Previous in UNKNOWN      Next in UNKNOWN      

Question Number 7467 by Obenfo last updated on 30/Aug/16

5 men or 10 women can complete a work in 20 days. In how many days can 3 men and 4 women complete it?

$$\mathrm{5}\:\mathrm{men}\:\mathrm{or}\:\mathrm{10}\:\mathrm{women}\:\mathrm{can}\:\mathrm{complete}\:\mathrm{a}\:\mathrm{work} \\ $$$$\mathrm{in}\:\mathrm{20}\:\mathrm{days}.\:\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{days}\:\mathrm{can}\:\mathrm{3}\:\mathrm{men} \\ $$$$\mathrm{and}\:\mathrm{4}\:\mathrm{women}\:\:\mathrm{complete}\:\mathrm{it}? \\ $$

Commented by FilupSmith last updated on 31/Aug/16

attempt − unsure if correct. 5m=20 ⇒ m=4 10w=20 ⇒ w=2 x=3m+4w=3(4)+4(2) x=12+8 x=20

$$\mathrm{attempt}\:−\:\mathrm{unsure}\:\mathrm{if}\:\mathrm{correct}. \\ $$$$ \\ $$$$\mathrm{5}{m}=\mathrm{20}\:\Rightarrow\:{m}=\mathrm{4} \\ $$$$\mathrm{10}{w}=\mathrm{20}\:\Rightarrow\:{w}=\mathrm{2} \\ $$$$ \\ $$$${x}=\mathrm{3}{m}+\mathrm{4}{w}=\mathrm{3}\left(\mathrm{4}\right)+\mathrm{4}\left(\mathrm{2}\right) \\ $$$${x}=\mathrm{12}+\mathrm{8} \\ $$$${x}=\mathrm{20} \\ $$

Answered by Rasheed Soomro last updated on 31/Aug/16

5 men=10 woman 1 man=2 women 3 men=6 women 3 men+4 women=6 women+4 women=10 women 10 women can complete a work in 20 days [Given] ∴3 men+4 women can complete a work in 20 days

$$\mathrm{5}\:{men}=\mathrm{10}\:{woman} \\ $$$$\mathrm{1}\:{man}=\mathrm{2}\:{women} \\ $$$$\mathrm{3}\:{men}=\mathrm{6}\:{women} \\ $$$$\mathrm{3}\:{men}+\mathrm{4}\:{women}=\mathrm{6}\:{women}+\mathrm{4}\:{women}=\mathrm{10}\:{women} \\ $$$$\mathrm{10}\:{women}\:{can}\:{complete}\:{a}\:{work}\:{in}\:\mathrm{20}\:{days}\:\left[{Given}\right] \\ $$$$\therefore\mathrm{3}\:{men}+\mathrm{4}\:{women}\:{can}\:{complete}\:{a}\:{work}\:{in}\:\mathrm{20}\:{days} \\ $$$$ \\ $$

Commented by sandy_suhendra last updated on 31/Aug/16

Great approach!

$${Great}\:{approach}! \\ $$

Answered by sandy_suhendra last updated on 31/Aug/16

another answer 5 men = 20 days ⇒ 1 man = 100 days 1 man in 1 day = (1/(100)) part of work 3 men in 1 day = (3/(100)) part of work 10 women = 20 days ⇒ 1 woman = 200 days 1 woman in 1 day = (1/(200)) part of work 4 women in 1 day = (4/(200)) = (1/(50)) part of work 3 men and 4 women in 1 day = (3/(100))+(1/(50))=(1/(20)) part of work so 3 men and 4 women can complete the work in 20 days

$${another}\:{answer} \\ $$$$\mathrm{5}\:{men}\:=\:\mathrm{20}\:{days}\:\Rightarrow\:\mathrm{1}\:{man}\:=\:\mathrm{100}\:{days} \\ $$$$\mathrm{1}\:{man}\:{in}\:\mathrm{1}\:{day}\:=\:\frac{\mathrm{1}}{\mathrm{100}}\:{part}\:{of}\:{work} \\ $$$$\mathrm{3}\:{men}\:{in}\:\mathrm{1}\:{day}\:=\:\frac{\mathrm{3}}{\mathrm{100}}\:{part}\:{of}\:{work} \\ $$$$\mathrm{10}\:{women}\:=\:\mathrm{20}\:{days}\:\Rightarrow\:\mathrm{1}\:{woman}\:=\:\mathrm{200}\:{days} \\ $$$$\mathrm{1}\:{woman}\:{in}\:\mathrm{1}\:{day}\:=\:\frac{\mathrm{1}}{\mathrm{200}}\:{part}\:{of}\:{work} \\ $$$$\mathrm{4}\:{women}\:{in}\:\mathrm{1}\:{day}\:=\:\frac{\mathrm{4}}{\mathrm{200}}\:=\:\frac{\mathrm{1}}{\mathrm{50}}\:{part}\:{of}\:{work} \\ $$$$\mathrm{3}\:{men}\:{and}\:\mathrm{4}\:{women}\:{in}\:\mathrm{1}\:{day}\:=\:\frac{\mathrm{3}}{\mathrm{100}}+\frac{\mathrm{1}}{\mathrm{50}}=\frac{\mathrm{1}}{\mathrm{20}}\:{part}\:{of}\:{work} \\ $$$${so}\:\mathrm{3}\:{men}\:{and}\:\mathrm{4}\:{women}\:{can}\:{complete}\:{the}\:{work}\:{in}\:\mathrm{20}\:{days} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com