# A and B Together Can Do a Piece of Work in 6 2/3 Days, but B Alone Can Do It in 10 Days. How Long Will a Take to Do It Alone? - Mathematics

Sum

A and B together can do a piece of work in 6 2/3 days, but B alone can do it in 10 days. How long will A take to do it alone?

#### Solution

A and B can do the work in =6 2/3 days = 20/3 days

B can do the work in = 10 days

∴ (A + B)'s 1-day work =3/20

B's 1-day work =1/10

A's 1-day work =3/20-1/10

=(3-2)/20=1/20

∴ A can do the work in = 20

Concept: Time and Work
Is there an error in this question or solution?

#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 10 Direct and Inverse Variations
Exercise 10 (E) | Q 2 | Page 133
Share