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Gopal Menon

· started a discussion

· 1 Months ago

please explain (Question: 97572.0 )

please explain first step

Question:
Working together B and C take 50% more number of days than A, B and C together take and A and B working together, take \(\cfrac{8}{3}\) more number of days than A, B and C take together. If A, B and C all have worked together till the completion of the work and B has received \(\unicode{x20B9} \)120 out of the total earning of \(\unicode{x20B9} \) 450, then in how many days did A, B and C together complete the whole work? 
Options:
A) 10
B) 6
C) 4
D) 2
Solution:

Ans: (c)

Alternatively: Ratio of efficiencies of A, B and

C = 5x : 4x : 6x

∴ Number of days required by A and B = \(\cfrac{100}{9x} \) .....(i)

and number of days required by A, B and C = \(\cfrac{100}{15x}\) ...(ii)

\(\therefore \cfrac{100}{9x}-\cfrac{100}{15x}=\cfrac{8}{3}⇒ x = \cfrac{5}{3}\)

From eq. (2) number of days required by A, B and C working together
\(=\cfrac{100}{15x}=\cfrac{100}{15\times\frac{5}{3}}=\cfrac{100}{25}=4\) days.

RAVI KANT

· commented

· 1 Months ago



EFFICIENCY RATIO B+C | A + B+C
2 : 3

AND IT IS GIVEN THAT EFFICIENCY OF

'B' IS 4/15

SO MAKE THE TOTAL EFFICIENCY OF

A+B+C = 15

THEN B+C |A+B+C

10 : 15

AND OUT OF 10 B'S EFFICIENCY IS 4

SO C'S EFFICIENCY IS 6


AND A'S EFFICIEENCY IS 5


RAVI KANT

· commented

· 1 Months ago



EFFICIENCY RATIO B+C | A + B+C
2 : 3

AND IT IS GIVEN THAT EFFICIENCY OF

'B' IS 4/15

SO MAKE THE TOTAL EFFICIENCY OF

A+B+C = 15

THEN B+C |A+B+C

10 : 15

AND OUT OF 10 B'S EFFICIENCY IS 4

SO C'S EFFICIENCY IS 6


AND A'S EFFICIEENCY IS 5


RAVI KANT

· commented

· 1 Months ago



EFFICIENCY RATIO B+C | A + B+C
2 : 3

AND IT IS GIVEN THAT EFFICIENCY OF

'B' IS 4/15

SO MAKE THE TOTAL EFFICIENCY OF

A+B+C = 15

THEN B+C |A+B+C

10 : 15

AND OUT OF 10 B'S EFFICIENCY IS 4

SO C'S EFFICIENCY IS 6


AND A'S EFFICIEENCY IS 5


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