Mr. Tortelli left at 8:00 a.m. and is traveling 50 miles per hour. Mrs. Hart left at 9:00 a.m. and is traveling at 60 miles per hour. If Mr. Tortelli and Mrs. Hart are traveling the same direction, what time will it be when Mrs. Hart is at the same location as Mr. Tortelli?

Question
Answer:
Mr Tortelli has a headstart of 1 hour. He woud have covered 50 miles in that hour before Mrs Hart head off.

Let the number of hours needed after 9am for them to have traveled the same distance be x.

50 + 50x = 60x
10x = 50
x = 5

It will be 5 hours after 9am that they will meet at the same location. 

5 hours after 9am will be 2pm.

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Answer: Mr Tortelli and Mrs Hart will mee at 2pm.
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solved
general 10 months ago 6484