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RD Sharma Solutions Class 8 Mathematics Solutions for Time and Work Exercise 11.1 in Chapter 11 - Time and Work

Question 10 Time and Work Exercise 11.1

A and B can polish the floors of a building in 10 days. A alone can do ¼th of it in12 days. In how many days can B alone polish the floor?

Answer:

The given details are,

A and B can polish a building in = 10 days

Work done by A and B in one day = 1/10

A alone can do 1/4th of work in = 12 days

A’s 1 day work = 1/(4×12) = 1/48

We know that,

B’s 1 day work = (A+B)’s 1 day work – A’s 1 day work

= 1/10 – 1/48

= (48-10)/480 (by taking LCM for 10 and 48 which is 480)

= 38/480

= 19/240

∴ B alone can polish the floor in = 1/(19/240) = 240/19 = 12 12/19 days.

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