Question

Daisy takes 3/4 of an hour to fill one shelf at the supermarket. Chloe can fill the shelves in two-thirds of Daisy's time. There are 15 total shelves. If they both work together, how long will it take to fill the shelves?

A) 3/4 hour
B) 1 hour
C) 15/8 hours
D) 5/4 hours

Answer 1

Daisy and Chloe can fill the shelves in 6.75 hours.

Step-by-step explanation:

To find the amount of time it will take to fill the shelves when Daisy and Chloe work together, we need to determine the combined rate at which they fill the shelves. Daisy takes 3/4 of an hour to fill one shelf, so her rate is 1 / (3/4) = 4/3 shelves per hour. Chloe takes two-thirds of Daisy's time, so her rate is (2/3) * (4/3) = 8/9 shelves per hour. Combined, they can fill (4/3 + 8/9) = 4/3 + 8/9 = 20/9 shelves per hour. Since there are 15 shelves, it will take (15 / (20/9)) = 15 * (9/20) = 6.75 hours to fill the shelves.