Question 112

# In the marketing management course of an MBA programme, you and your roommate can complete an assignment in 30 days. If you are twice as efficient as your roommate, the time required by each to complete the assignment individually is

Solution

Let's assume my roommate completes 'x' amount of work in a day, I will complete '2x' amount of work.

Entire assignment is completed in  30 days hence total work = 30*(x+2x) = 90x

I will complete the entire assignment alone in = $$\frac{90x}{2x} = 45$$ days

My roommate will complete the entire assignment alone in = $$\frac{90x}{x} = 90$$ days