math
posted by carr on .
Eric and Cindy are avid cyclists living in cities 150 miles apart. Eric begins riding toward Cindy at noon, traveling 18 mph. Cindy begins riding toward Eric at 2 pm, traveling 12 mph. At what time will they meet? How far does each travel?

Cindy starts at 2pm, when Eric has already been cycling for two hours.
Distance apart at 2pm = 1502*18
=114 miles
The sum of their speeds
=18+12
=30 mph
They will meet when the distance divided by the total speed equals 114 miles, or
time = 114/30 = 3.8 hours after 2 pm.
Distance travelled by each would be time * speed of each.