SOLUTION: Suppose two sisters live 240 miles apart. One sister has three young children who are planning to visit their aunt for a week. To prevent driving so far, the sisters agree to leave

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Question 1181338: Suppose two sisters live 240 miles apart. One sister has three young children who are planning to visit their aunt for a week. To prevent driving so far, the sisters agree to leave at the same times, drive toward each other, and meet somewhere along the route, The sister with the three children tends to drive carefully and obey the speed limit. Her average rate of speed is 70 mph. The other sister drives too fast, and her average rate of speed 80 mph. How long will it take the two sisters to meet each other to transfer the children? (answer in hours. minutes, and seconds.)
Found 2 solutions by Solver92311, ikleyn:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


How long does it take to cover 240 miles at 150 miles per hour?


John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
.

Their rate of approaching is the sum of their rates  70 mph + 80 mph = 150 mph.


THEREFORE, they will meet each other on the highway in  


    240%2F150 = 24%2F15 = 8%2F5  hours = 8*12 minutes = 96 minutes = 1 hour and 36 minutes.    ANSWER

Solved.

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    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
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