Anju takes 3 days longer than Bala to finish a work.But if they work togather work, their work is done in two days.How long would each take to do it separately?

Asked by Subbu Srinivas | 14th Nov, 2014, 09:23: PM

Expert Answer:

L e t space x space b e space t h e space n u m b e r space o f space d a y s space t h a t space a n j u space t a k e s space t o space c o m p l e t e space t h e space w o r k. L e t space y space b e space t h e space n u m b e r space o f space d a y s space t h a t space b a l a space t a k e s space t o space c o m p l e t e space t h e space w o r k. G i v e n space t h a t space A n j u space t a k e s space 3 space d a y s space l o n g e r space t h a n space B a l a. rightwards double arrow y equals x minus 3 T h e r e f o r e comma A n j u apostrophe s space o n e space d a y space w o r k equals space 1 over x B a l a apostrophe s space o n e space d a y space w o r k equals space fraction numerator 1 over denominator x minus 3 end fraction A l s o space g i v e n space t h a t comma space i f space b o t h space A n j u space a n d space B a l a space w o r k space t o g e t h e r comma space t h e i r space w o r k space i s space d o n e space i n space t w o space d a y s. rightwards double arrow 2 open parentheses 1 over x plus fraction numerator 1 over denominator x minus 3 end fraction close parentheses equals 1 rightwards double arrow fraction numerator x plus x minus 3 over denominator x open parentheses x minus 3 close parentheses end fraction equals 1 half rightwards double arrow 4 x minus 6 equals x open parentheses x minus 3 close parentheses rightwards double arrow 4 x minus 6 equals x squared minus 3 x rightwards double arrow x squared minus 7 x plus 6 equals 0 rightwards double arrow open parentheses x minus 6 close parentheses open parentheses x minus 1 close parentheses equals 0 rightwards double arrow x minus 6 equals 0 space o r space x minus 1 equals 0 rightwards double arrow x equals 6 space o r space x equals 1 x equals 1 space c a n n o t space b e space t h e space s o l u t i o n space b e c a u s e comma space y equals 1 minus 3 equals minus 2 ; space y space c a n n o t space b e space n e g a t i v e T h e r e f o r e comma space x equals 6 space a n d space h e n c e space A n j u space t a k e s space 6 space d a y s space a n d space B a l a space t a k e s space 3 space d a y s.

Answered by Vimala Ramamurthy | 15th Nov, 2014, 11:47: AM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.