SOLUTION: Hannah traveled the 320 mile trip in 2 hours more than Anna. This was because Anna traveled twice as fast as Hannah. How fast did each travel and for how long?

Question 642232: Hannah traveled the 320 mile trip in 2 hours more than Anna. This was because Anna traveled twice as fast as Hannah. How fast did each travel and for how long?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Hannah traveled the 320 mile trip in 2 hours more than Anna. This was because Anna traveled twice as fast as Hannah. How fast did each travel and for how long?
--------
Hannah DATA:
distance = 320 miles ; time = x + 2 hrs ; rate = 320/(x+2) mph
----------------
Anna DATA:
distance = 320 miles ; time = x hrs ; rate = 320/x mph
------------------
Equation:
320/x = 2[320/(x+2)]
1/x = 2/(x+2)
2x = x+2
x = 2 hrs
-----
Hannah's rate: 320/(x+2) = 320/4 = 80 mph
-----
Anna's rate: 320/x = 320/2 = 160 mph
===========================================
Cheers,
Stan H.
RELATED QUESTIONS
Yanira is 3 years older than Tim and twice as old as Hannah. Tim is 2 years older than... (answered by ikleyn,josgarithmetic)

Anna and Raj have some pens. Anna has 3 fewer pens than Raj. If Raj had 2 more pens, then (answered by josmiceli)

Hannah and Claire each drove their cars +60km/h. Hannah traveled at +80km/h,and Claire... (answered by greenestamps)

when Anna was 15, Simon was 11, how old were the children when Anna was twice as old... (answered by greenestamps)

Tara is 6 years younger than her sister Hannah. 2 years ago Hannah was 3 times as old as (answered by josgarithmetic)

Mary is twice as old as anna was when mary was half as old as anna will be when anna is 3 (answered by Aaniya)

A family vacation trip took 12 hours. Of the total distance, 4/5 was in a car and 1/5 was (answered by ikleyn)

Pls. help me with my assignment... Anna is twice as old as Melody. Five years ago, Anna... (answered by awang1996)

A family vacation trip took 12 hours. Of the total, 4/5 was in car and 1/5 was in boat,... (answered by ikleyn,richwmiller)