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?

they need 13.86 minutes to chop 14 pounds of carrots.

Step-by-step 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

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.