Algebra Word Problem Help.?

On a perfectly flat straight road, Bob and Judy are 57 miles apart at 1:00 PM. At that time, they set out to meet each other. Bob walks at the constant rate of 4 mph. During the first hour, Judy walks at the constant rate of 2 mph. During the second hour, Judy walks at the constant rate of 2.4 mph. She continues in this pattern, increasing her constant rate per hour by 0.4 mph each hour. Find the time that Judy and Bob will meet.