A Can Do a Piece of Work in 24 Days, a and B Can Do It in 16 Days and A, B, and C in 10 2/3 Days. in How Many Days Can a and C Do It Working Together? - Mathematics

Sum

A can do a piece of work in 24 days, A and B can do it in 16 days and A, B, and C in 10 2/3  days. In how many days can A and C do it working together?

Solution

A can do a piece of work in = 24 days

(A+B) can do a piece of work in = 16 days

(A+B+C) can do a piece of work in

=10 2/3days = 32/3 days

∴ A's 1-day work =1/24

(A+B)'s 1 day work =1/16

(A+B+C)'s 1 day work =3/32

C's 1 day work =3/32-1/16

=(3-2)/32=1/32

(A+C)'s 1-day work =1/24+1/32

=(4+3)/96=7/96

∴ (A+C) can do the work in =96/7 days

=13 5/7 days

Concept: Time and Work
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 10 Direct and Inverse Variations
Exercise 10 (E) | Q 6 | Page 133