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ML Aggarwal Solutions Class 8 Mathematics Solutions for Direct and Inverse Variation Exercise 9.3 in Chapter 9 - Direct and Inverse Variation

Question 1 Direct and Inverse Variation Exercise 9.3

A farmer can reap a field in 10 days while his wife can do it in 8 days (she does not waste time in smoking). If they work together, in how much time can they reap the field?

Answer:

Given:

A farmer can reap a field in = 10 days

In 1-day farmer can reap field = 1/10 days

The farmer’s wife can reap a field in = 8 days

In 1-day farmer’s wife can reap field = 1/8 days

Both farmer and his wife can reap a field in 1 day = 1/10 + 1/8

= (4+5)/40

= 9/40

∴ Farmer and his wife reap a field in 40/9 days i.e. 4 4/9 days

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