Question

Chefs Rohan and Lewis are chopping vegetables for a world-record setting stew. Rohan can chop 6 pounds of carrots in 11 minutes, while Lewis takes 13 minutes to chop 6 pounds of carrots. Working together, how many minutes will it take for Rohan and Lewis to chop 14 pounds of carrots?

Answer 1

Answer: they need 13.86 minutes to chop 14 pounds of carrots.

Explanation:

Rohan can chop 6 pounds of carrots in 11 minutes, then he can chop:

6lb/11min = 0.55 pounds per minute.

Lewis can chop 6 pounds in 13 minutes, then he can chop:

6lb/13min = 0.46 pounds per minute.

Working together, they can chop:

0.55 lb/min + 0.46lb/min = 1.01 lb/min

So working together, they can chop 1.01 pounds per minute.

Now we want to answer:

how many minutes will it take for Rohan and Lewis to chop 14 pounds of carrots?

If they need a time T, we will have the equation:

(1.01 lb/min)*T = 14 lb

T = 14lb/(1.01 lb/min) = 13.86 min

This means that they need 13.86 minutes to chop 14 pounds of carrots.