Question

Alex can do 3/4 of the work in 12 days and Ben can do 1/8 th of the work in 2 days. In how many days both Alex and Ben can together do the work?

Answer 1

3/4of the work is done by alex in 12 days

=> The whole work is done by alex in

=> 12 X $\dfrac{4}{3}$=16

=> like, $\dfrac{1}{8}$ of the work

is done by Ben in 2 days

so, the whole work will be done by ben in

in 2 X $\dfrac{8}{1}$ = 16 days

=>now, ben's one day work =

$\dfrac{1}{16}$

=>now, both alex and ben's one day work

= $\dfrac{1}{16}$+$\dfrac{1}{16}$=$\dfrac{2}{16}$=$\dfrac{1}{8}$

=>hence Alex and ben will together complete work in 8 days.

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