SOLUTION: Nancy and mark commute to work, traveling in opposite directions. Nancy leaves the house at 9:00 A.M. and average 35 miles per hous. Mark leaves at 9:15 A.M. and averages 60 miles
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: Nancy and mark commute to work, traveling in opposite directions. Nancy leaves the house at 9:00 A.M. and average 35 miles per hous. Mark leaves at 9:15 A.M. and averages 60 miles
Log On
Question 627033: Nancy and mark commute to work, traveling in opposite directions. Nancy leaves the house at 9:00 A.M. and average 35 miles per hous. Mark leaves at 9:15 A.M. and averages 60 miles per hour. At what time will they be 175 miles apart? Answer by solver91311(24713) (Show Source):
First calculate the distance Nancy traveled during her 15 minute head start using Distance equals Rate times Time. In order to keep everything in consistent units, use 1/4 hour instead of 15 minutes in this calculation. (The alternative is to change the given speeds to miles per minute making all of the arithmetic much uglier than it already is)
Subtract the results of the above calculation from the given 175 miles. The difference is the number of miles that must be traversed at the SUM of their speeds. Calculate the time required for them to travel the difference distance at the sum speed (Time equals Distance divided by Rate). Add that amount of time to 9:15 AM.
John
My calculator said it, I believe it, that settles it
