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Question Number 189872 by otchereabdullai last updated on 23/Mar/23
A farmer and his son used 20 days   to weed a plot of land . If the farmer  uses 36 days to weed the same plot of  land , how many days will the son   use to weed the same plot of land
$${A}\:{farmer}\:{and}\:{his}\:{son}\:{used}\:\mathrm{20}\:{days}\: \\ $$$${to}\:{weed}\:{a}\:{plot}\:{of}\:{land}\:.\:{If}\:{the}\:{farmer} \\ $$$${uses}\:\mathrm{36}\:{days}\:{to}\:{weed}\:{the}\:{same}\:{plot}\:{of} \\ $$$${land}\:,\:{how}\:{many}\:{days}\:{will}\:{the}\:{son}\: \\ $$$${use}\:{to}\:{weed}\:{the}\:{same}\:{plot}\:{of}\:{land} \\ $$
Answered by Frix last updated on 23/Mar/23
(1/f)+(1/s)=(1/(20))  f=36  (1/s)=(1/(20))−(1/(36))=(1/(45)) ⇒  s=45
$$\frac{\mathrm{1}}{{f}}+\frac{\mathrm{1}}{{s}}=\frac{\mathrm{1}}{\mathrm{20}} \\ $$$${f}=\mathrm{36} \\ $$$$\frac{\mathrm{1}}{{s}}=\frac{\mathrm{1}}{\mathrm{20}}−\frac{\mathrm{1}}{\mathrm{36}}=\frac{\mathrm{1}}{\mathrm{45}}\:\Rightarrow \\ $$$${s}=\mathrm{45} \\ $$
Commented by otchereabdullai last updated on 23/Mar/23
thanks sir! am much grateful
$${thanks}\:{sir}!\:{am}\:{much}\:{grateful} \\ $$

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