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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 3 Time and Work Exercise 11.1

Anil can do a piece of work in 5 days and Ankur in 4 days. How long will theytake do the same work, if they work together?

Answer:

The given details are,

Anil can do a piece of work in 5 daysWork done by Anil in 1 day = 1/5

Ankur can do same work in 4 days Work done by Ankur in 1 day = 1/4

Work done by both in 1 day = 1/5 + 1/4

= (5+4)/20 (by taking LCM for 5 and 4 which is 20)

= 9/20

∴ Total work done together is 1/(20/9) = 20/9 = 2 2/9days

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