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Question Number 74137 by MASANJAJ last updated on 19/Nov/19

Commented by TawaTawa last updated on 19/Nov/19

$$\left(16\mathrm{a}\right)$$$$5\mathrm{painters}\mathrm{will}\mathrm{spend}\mathrm{less}\mathrm{hours}$$$$\therefore 1\mathrm{painter}=2\times 6=12\mathrm{hrs}$$$$\therefore 5\mathrm{painters}=\frac{12}{5}\mathrm{hrs}$$

Commented by TawaTawa last updated on 19/Nov/19

$$\left(16\mathrm{c}\right)$$$$\pi {\mathrm{R}}^2:\pi {\mathrm{r}}^2=16:9$$$${\mathrm{R}}^2:{\mathrm{r}}^2=16:9$$$${\mathrm{R}}^2:{\mathrm{r}}^2=4^2:3^2$$$$\mathrm{R}:\mathrm{r}=4:3$$$$24:\mathrm{r}=4:3$$$$\therefore \frac{24}{\mathrm{r}}=\frac{4}{3}$$$$\therefore 4\mathrm{r}=72$$$$\therefore \mathrm{r}=\frac{72}{4}$$$$\therefore \mathrm{r}=18\mathrm{cm}$$

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