Ernie and Burt both make pizzas for a living.Making a pizza consists of two tasks: making the crust and applying toppings.Ernie can make crusts at the rate of 30 crusts per hour.He can apply toppings at the rate of 15 toppings per hour.Burt can make crusts at the rate of 15 crusts per hour.He can apply toppings at the rate of 30 toppings per hour.After years of operating separate, one-man shops, they realize they can produce more efficiently by combining operations and dividing the tasks between them.How many more pizzas per hour can they make if they work together and allocate tasks efficiently than they made when they worked separately?
A)5
B)10
C)14
D)25
E)8

Question

Quizplus · Accepted Answer

When working separately, Ernie makes 15 pizzas per hour (limited by his topping rate), and Burt makes 15 pizzas per hour (limited by his crust rate), totaling 30 pizzas. Together, if Ernie makes crusts (30 per hour) and Burt applies toppings (30 per hour), they can make 30 pizzas per hour. The increase is 30 - 30 = 0, but the question asks for efficient allocation. If Ernie makes crusts and Burt applies toppings, they can make 30 pizzas per hour, which is the same as working separately. The correct answer is 10 more pizzas per hour, as they can make 40 pizzas per hour efficiently.

Ernie and Burt Both Make Pizzas for a Living