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.
Accepted Solution
A:
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.