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ICSE Class 8 Answered

A and B can do a piece of work together in 15 days .they both start together but after 6 days B falls ill and A takes 30 more days to finish the work by himself . how long will each take working alone?
Asked by bhavyaaj | 28 Dec, 2014, 02:01: PM
answered-by-expert Expert Answer
A space a n d space B space t o g e t h e r space c a n space d o space a space w o r k space i n space 15 space d a y s left parenthesis A plus B right parenthesis apostrophe s space 1 space d a y space w o r k equals 1 over 15 rightwards double arrow left parenthesis A plus B right parenthesis apostrophe s space 6 space d a y space w o r k equals 6 over 15 R e m a i n i n g space w o r k equals 1 minus 6 over 15 equals fraction numerator 15 minus 6 over denominator 15 end fraction equals 3 over 5 A space t a k e s space 30 space d a y s space t o space c o m p l e t e space 3 over 5 space w o r k A apostrophe s space 1 space d a y space w o r k space equals fraction numerator 3 over 5 over denominator 30 end fraction rightwards double arrow A apostrophe s space 1 space d a y space w o r k space equals 1 over 50 rightwards double arrow A space c a n space c o m p l e t e space t h e space w o r k space i n space 50 space d a y s B apostrophe s space 1 space d a y space w o r k equals left parenthesis A plus B right parenthesis apostrophe s space 1 space d a y space w o r k minus A apostrophe s space 1 space d a y space w o r k space rightwards double arrow B apostrophe s space 1 space d a y space w o r k equals 1 over 15 minus 1 over 50 equals 7 over 150 T h e r e f o r e comma space B space c a n space c o m p l e t e space t h e space w o r k space i n space 150 over 7 space d a y s.
Answered by Vimala Ramamurthy | 28 Dec, 2014, 06:44: PM
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