Ruben and Claire are training to run a marathon in the spring. Ruben runs 16 miles over a 4-day period. Claire runs 12 miles over a 3-day period. Are they running at the same rate of speed?

To determine if Ruben and Claire are running at the same rate of speed, we need to calculate their average speed.

Ruben runs 16 miles over a 4-day period, so his average speed is 16 miles / 4 days = <<16/4=4>>4 miles per day.

Claire runs 12 miles over a 3-day period, so her average speed is 12 miles / 3 days = <<12/3=4>>4 miles per day.

Both Ruben and Claire are running at the same rate of speed, which is 4 miles per day.