Question

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

Answer 1

(c) 4:3

The number of days taken for working is the reciprocal of the rate of work.

$\mathrm{i}.\mathrm{e}.,\mathrm{number}\mathrm{of}\mathrm{days}\mathrm{taken}=\frac{1}{\mathrm{rate}\mathrm{of}\mathrm{work}}=\frac{1}{{\displaystyle \raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$4$}\right.}}=\frac{4}{3}$