Question

8. P can do1/4 of a work in 10 days, Q can do 40% of the work in 15 days and R can do1/3
of the work in 13 days.
Who will complete the work first?​

Answer 1

Answer:

$\large\tt\color{blue}\underline{\underline{Question:}}$

$\textsf{P can do 1/4 of the work in 10 days , Q can do}$

$\textsf{40 percent of the work in 15 days and R can do}$

$\textsf{1/3 of the work in 13 days . Who will}$

$\textsf{complete the work first?}$

$\large\tt\color{cyan}\underline{\underline{Given:}}$

$\textsf{P complete 1/4 of the work in 10 days}$

$\textsf{Q complete 40 percent of the work in 15 days}$

$\textsf{R complete 1/3 of the work in 13 days}$

$\large\tt\color{magenta}\underline{\underline{To\:find}}$

$\textsf{Who will complete the work first}$

$\large\tt\color{red}\underline{\underline{Taken:}}$

$No.of\:days÷\frac{Number}{Number}=Total\:number\:of\:days\:taken\:to\:complete\:the\:work$

$In\:percent:$

$\textsf{First make percent into fraction the divide}$

$\large\tt\color{green}\underline{\underline{Solution:}}$

$\textsf{No. of days taken by P to complete the work}$

$\mapsto\bold{10\:days÷\frac{1}{4}}$

$\mapsto\bold{10\:days×\frac{4}{1}}$

$\mapsto\bold\purple{40\:days\:taken\:by\:P}$

_______________________________________

$\textsf{No. of days taken by Q to complete the work}$

$\mapsto\bold{15\:days÷\frac{40}{100}}$

$\mapsto\bold{15\:days÷\frac{2}{5}}$

$\mapsto\bold{15\:days×\frac{5}{2}}$

$\mapsto\bold{\frac{75}{2}}$

$\mapsto\bold\purple{37.5\:days\:taken\:by\:Q}$

______________________________________

$\textsf{No. of days taken by R to complete the work}$

$\mapsto\bold{13\:days÷\frac{1}{3}}$

$\mapsto\bold{13\:days×\frac{3}{1}}$

$\mapsto\bold\purple{39\:days\:taken\:by\:R}$

..................................................................

So , according to the solution :

P takes 40 days to complete the work .

Q takes 37.5 days to complete the work .

And R takes 39 days to complete the work.

So , Q will complete the work first .

Because Q takes least time to complete the work .

HOPE IT HELPS YOU