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ICSE Class 8 Answered

Masons A and B take 12 hours to build a stage together  B and C take 15 hours while A and C take 20 hours to do the same job. How long will it take to build the stage if A, B and C worked together? If ₹1200 is received for building the stage, how will the money be shared among A, B, and C? 
Asked by Cl_narayan | 04 Aug, 2019, 10:01: PM
answered-by-expert Expert Answer
Let X=12, Y=15 and Z=20
A,B and C together can build the stage in 
open parentheses fraction numerator 2 x y z over denominator x y plus y z plus x z end fraction close parentheses d a y s equals open parentheses fraction numerator 2 cross times 12 cross times 15 cross times 20 over denominator 12 cross times 15 plus 15 cross times 20 plus 12 cross times 20 end fraction close parentheses d a y s equals open parentheses fraction numerator 2 cross times 12 cross times 15 cross times 20 over denominator 720 end fraction equals 7200 over 720 close parentheses d a y s equals 10 space d a y s T o t a l space a m o u n t space r e c e i v e d space i s space R s. space 1200 A apostrophe s space s h a r e space i n space t h e space w o r k space i s space 50 percent sign B apostrophe s space s h a r e space i n space t h e space w o r k space i s space 33.33 percent sign C apostrophe s space s h a r e space i n space t h e space w o r k space i s space 16.66 percent sign T h e r e f o r e comma space A space g e t s space R s. space 400 B space g e t s space R s. space 600 C space g e t s space R s. space 200
Answered by Renu Varma | 05 Aug, 2019, 11:21: AM

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