SOLUTION: Joseph and Lisa live 150 miles apart. They leave at the same time and drive on the same road towards each other. Jospeh travels at a rate of 60 miles per hour. Lisa travels at a ra

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Question 587731: Joseph and Lisa live 150 miles apart. They leave at the same time and drive on the same road towards each other. Jospeh travels at a rate of 60 miles per hour. Lisa travels at a rate of 70 miles per hour. In approximately how much time will Joseph and Lisa meet on the road?
Answer by htmentor(1343) About Me  (Show Source):
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Joseph and Lisa live 150 miles apart. They leave at the same time and drive on the same road towards each other. Jospeh travels at a rate of 60 miles per hour. Lisa travels at a rate of 70 miles per hour. In approximately how much time will Joseph and Lisa meet on the road?
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The simplest way to solve this problem is by using the relative speed between Joseph and Lisa.
The relative speed, since they are moving toward one another, is 70 + 60 = 130 mph
The two cars traveling toward one another is equivalent to one car traveling at their relative speed and the other car standing still.
The time required to meet is determined by the distance of separation divided by the relative speed:
t = 150 mi/130 mi/h = 1.154 hours