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Direct and Inverse Variation | Direct and Inverse Variation Exercise 9.3

Question 9

A, B, and C can separately do a work in 2, 6, and 3 days respectively. Working together, how much time would they require to do it? If the work earns them ₹960, how should they divide the money?

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Given:

A’s one day work = ½

B’s one day work = 1/6

C’s one day work = 1/3

A + B + C when working together = ½ + 1/6 + 1/3

= (3 + 1 + 2)/6

= 6/6

= 1day

∴ A, B and C can finish the work by working together in 1 day.

So they should divide the money in the ratio 1/2 : 1/6 : 1/3

(½) × 12 : (1/6) × 12 : (1/3) × 12 = 6: 2: 4

So, sum of terms of ratio = 6 + 2 + 4 = 12

∴ A’s share = (6/12) × ₹960

= ₹480

B’s share = (2/12) × ₹960

= ₹160

C’s share = (4/12) × ₹960

= ₹320

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Question 9

A, B, and C can separately do a work in 2, 6, and 3 days respectively. Working together, how much time would they require to do it? If the work earns them ₹960, how should they divide the money?

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Given:

A’s one day work = ½

B’s one day work = 1/6

C’s one day work = 1/3

A + B + C when working together = ½ + 1/6 + 1/3

= (3 + 1 + 2)/6

= 6/6

= 1day

∴ A, B and C can finish the work by working together in 1 day.

So they should divide the money in the ratio 1/2 : 1/6 : 1/3

(½) × 12 : (1/6) × 12 : (1/3) × 12 = 6: 2: 4

So, sum of terms of ratio = 6 + 2 + 4 = 12

∴ A’s share = (6/12) × ₹960

= ₹480

B’s share = (2/12) × ₹960

= ₹160

C’s share = (4/12) × ₹960

= ₹320

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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