Raksat wrote:
Sam and David agreed to complete a work in 14 days. They also agreed to forfeit thrice the amount of wages corresponding to the unfinished if they failed to complete the work in 14 days. As they could not complete the work in 14 days, they lost 3/8th of the amount that they would have together received had they completed the work in time. If Sam alone can complete the work in 80 days,the time that David alone would take to complete the work is
A. 20 days
B. 24 days
C. 30 days
D. 35 days
E. 40 days
self - made Question
hi...
you would see such Q more frequently in CAT
but let's solve it.they were to lose thrice the amount of wages of work that was left ....so if they lost \(\frac{3}{8}\) of work, they did not do \(\frac{3}{8} * \frac{1}{3} = \frac{1}{8}\) of work
In other words they did only \(1-\frac{1}{8} = \frac{7}{8}\) of work
if they do 7/8 of work in 14 days, they will do complete job in 14*8/7 = 16 days..
David's one day work = \(\frac{1}{16}-\frac{1}{80} = \frac{5-1}{80}=\frac{4}{80}=\frac{1}{20}\)
so david does it in 20 days
A
Is there any method apart from UNITARY METHOD. Normally i take LCM and try to solve but some questions couldn't be solved using this method. And i couldn't grasp unitary method completely. Upto 700 level questions its fine but beyond 700 , it becomes a strech.