12 women can make 15 toys in 6 days if they work for 8 hours a day. If 20 toys are to be made by 10 women, working 12 hours a day, then how many days will be required ?

6.4 days

Formula to be used here,

\(\frac{M_1\;×\;D_1\;×\;H_1}{M_2\;×\;D_2\;×\;H_2}\) = \(\frac{W_1}{W_2}\)

⇒ where, M = No. of Women, D = No. of Days, H = No. of Hours, W = Work,

⇒ Putting values in the formula,

⇒ \(\frac{12\;×\;6\;×\;8}{10\;×\;D_2\;×\;12}\) = \(\frac{15}{20}\)

⇒ \( { D}_{2 } \) = \(\frac{32}{5}\) = 6.4 days.