The rates of working of A and B are in the ratio 3 : 4. The number of days taken by them t6:1 finish the work are in the ratio

(a) 3: 4

(b) 9 : 16

(c) 4 : 3

(d) 16 : 9

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Solution

Ratio in the rates of working of A and B =3 : 4

$∴$ Ratio in time $= \frac{1}{3} : \frac{1}{4}$

$= \frac{4 : 3}{12} = 4 : 3$

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Q. Tick (✓) the correct answer:
The rates of working of A and B are in the ratio 3 : 4. The number of days taken by them to finish the work are in the ratio
(a) 3 : 4
(b) 9 : 16
(c) 4 : 3
(d) 16 : 9

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The rates of working of A and B are in the ratio 3 : 4. The number of days taken by them t6:1 finish the work are in the ratio (a) 3: 4 (b) 9 : 16 (c) 4 : 3 (d) 16 : 9

Ratio in the rates of working of A and B =3 : 4 ∴ Ratio in time =13:14 =4:312=4:3

The rates of working of A and B are in the ratio 3 : 4. The number of days taken by them t6:1 finish the work are in the ratio

(a) 3: 4

(b) 9 : 16

(c) 4 : 3

(d) 16 : 9

Ratio in the rates of working of A and B =3 : 4

$∴$ Ratio in time $= \frac{1}{3} : \frac{1}{4}$

$= \frac{4 : 3}{12} = 4 : 3$