Direct and Inverse Variation | Direct and Inverse Variation Exercise 9.3

Question

A can do a job in 10 days while B can do it in 15 days. If they work together and earn ₹3500, how should they share the money?

Accepted Answer

Given:

A can do a job in = 10 days

A’s 1-day job is = 1/10

B can do a job in 15 days

B’s 1-day job is = 1/15

Both A and B can do a job in one day = 1/10 + 1/15

= (3+2)/30

= 5/30

= 1/6

For 1/6 part of the work the earnings are = ₹3500

For 1 part of work, the earnings are = ₹3500 × 6

For 1/10 part of work earning = ₹ (3500×6)/10 = ₹2100

For 1/15 part of work earning = ₹ (3500×6)/15 = ₹1400

∴ A gets ₹2100 and B gets ₹ 1400

Question 8