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CBSE Class 10 Answered

29. A takes 6 days less than B to do a work. If both A and B working together can do it in 4 days, how many days will B take to finish it?
Asked by ayushshandilya83 | 22 Feb, 2018, 09:53: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight B space can space finish space straight m space piece space of space work.
1 over straight m plus fraction numerator 1 over denominator straight m minus 6 end fraction equals 1 fourth
fraction numerator straight m minus 6 plus straight m over denominator straight m left parenthesis straight m minus 6 right parenthesis end fraction equals 1 fourth
After space solving space this space you space get space
straight m equals 12 space or space 2
But space for space straight m equals 2 rightwards double arrow fraction numerator 1 over denominator straight m minus 6 end fraction equals fraction numerator 1 over denominator negative 4 end fraction
which space straight s space not space possible. space Hence comma space straight m equals 12
straight B space will space take space 12 space days space to space finish space job. end style
Answered by Sneha shidid | 22 Feb, 2018, 10:11: AM
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