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#32789

distance

rate

arithmetic

hard

120 sec

A train completed a 400-mile journey in two stages. For the first $x$ hours, the train traveled at an average speed of $R$ miles per hour. For the remaining $y$ hours, it traveled at an average speed of $(R + 20)$ miles per hour. If the total time for the journey was 6 hours, and the time spent on the second stage was half the time spent on the first stage, what is the value of $R$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.