Posted by **carr** on Tuesday, October 12, 2010 at 4:22pm.

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 -
**MathMate**, Tuesday, October 12, 2010 at 5:06pm
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

=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.

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