Question

Two workers working 9 hours made 243 parts. Worker A makes 13 parts in 1 hour. If the workers work at a steady rate throughout the day, who is more productive, Worker A or Worker B?

Answer 1

Answer: Worker B

Reason:

Worker A has a pace of 13 parts per hour.

If s/he works for 9 hours at this rate, then that worker produces 9*13 = 117 parts. The other 243-117 = 126 parts are made by worker B.

Let's compute the rate for worker B.

rate = (amount done)/(time)

rate = (126 parts)/(9 hours)

rate = 14 parts per hour

Worker B is more productive because this worker's rate (14 parts per hour) is higher compared to worker A (13 parts per hour).

Another way to see why worker B is more productive is to simply note how worker B produces more parts compared to worker A in the same amount of time. That means we technically don't need to compute worker B's rate.