Question

Anthony plans to ride 175 km on his bike , and Samantha plans to ride 250 km. They both plan to complete their journeys in a whole number of days. a) How many kilometres could each person travel if they both ride the same number of km each day? b) How many days will each person have to ride for each common factor you found in part (a)? Explain. I already answered the question, but I'm not sure if I'm right. PLZ HELP

Answer 1

175 = 5*5*7 
250 = 2 * 5 * 5 * 5 

I'd say they take 5 days. The only factors that are in common are 5 or 25. So using 5 days, then Anthony needs to ride 35km/day, and Sam needs to ride 50km/day.

25 days, then A=7km/day and S=10km/day