A problem by Yash Khatri
A shoemaker can finish a designer shoe in 5 days if he works alone. With his assistant he can finish it in 3 days. For a special order bride's shoe, he starts working with his assistant. They work together for a day and then his assistant falls sick. Now the shoemaker has to finish the work alone. How many days will he take to finish it?
The answer is 3.33.
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1 solution
When the assistant falls ill, the work is 1/3 of the way done. Because only 2/3 of the normal amount of work needs to be done, the time needed to finish is 2/3 * 5 = 3 1/3 days.