Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Jenny, who rides a moped, takes 2 hours less to travel 60 miles than Maureen takes to travel 50 miles on her bicycle. Jenny travels 10 miles per hour faster than Maureen. (Hint: speed = distance ÷ time.) Jenny’s speed is miles per hour. Maureen’s speed is miles per hour.

Answer 1

Let's define variables:
s: Maureen's speed
t: Maureen's time
For Jenny we have:
s + 10 = (60) / (t-2)
For Maureen we have:
s = (50) / (t)
By clearing the variables we have:
(50) / (t) = (60) / (t-2) - 10
The solution to this equation is:
t = -2
t = 5
Taking the positive solution we have:
s = 50 / t
s = 50/5
s = 10 mph
For Jenny:
s + 10 = 10 + 10 = 20 mph
Answer: Jenny's speed is 20 miles per hour.
Maureen's speed is 10 miles per hour.