Question

David and James are at the Famous Nathan's Hot Dog Eating

Championships of the world in New York. David was late starting, so
James already had 6 hotdogs before David started eating. From then on,
James ate a hot dog every two minutes while David stuffed 1.25 hot dogs
a minute. How many minutes does it take David to catch up with James?

Answer 1

Answer: We can start by using the following formula to find the time it takes for David to catch up with James:

time = (James' lead) / (David's rate - James' rate)

In this case, James' lead is 6 hotdogs, and we know that James eats 1 hotdog every 2 minutes, so his rate is 1/2 hotdog per minute. David's rate is 1.25 hotdogs per minute.

So, substituting these values into the formula:

time = (6) / (1.25 - (1/2))

time = 6 / (0.75)

time = 8 minutes

So it takes David 8 minutes to catch up with James.

Explanation: