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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?

  • math -

    Cindy starts at 2pm, when Eric has already been cycling for two hours.
    Distance apart at 2pm = 150-2*18
    =114 miles
    The sum of their speeds
    =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.

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