Question

Mayor Modulus wants to repair a $\frac{54}{13}$ miles length of road of her city. Workers can repair $\frac{9}{13}$ kilometer of road per week.How many weeks will it take to repair the road?

Answer 1

Total length of road = $\frac{54}{13}$ miles

Length of road repaired per week by workers $=\frac{9}{13}$ miles

Required number of weeks to repair the road
= Total length of road to be repaired divided by length of road repaired by workers per week

Required number of weeks to repair the road $\frac{54}{13}$ miles $=\frac{54}{13}÷\frac{9}{13}$

=$\frac{54}{13}\times \frac{13}{9}=\frac{54}{9}=\frac{9\times 6}{9}=6$ weeks

Hence,workers can repair the road of the city in $6$weeks.