Question 1045854: Romeo and Juliet first saw each other when they were 270 feet apart. Romeo began running toward Juliet at a rate of 16 ft/s. At the same moment, Juliet began running toward Romeo at a rate of 14 ft/s. How may seconds after they started running will they meet? How far will Romeo have to run?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Romeo and Juliet first saw each other when they were 270 feet apart.
Romeo began running toward Juliet at a rate of 16 ft/s.
At the same moment, Juliet began running toward Romeo at a rate of 14 ft/s.
How may seconds after they started running will they meet?
:
Let t = no. of seconds for them to meet
When they meet the sum of their distances is 270 ft, dist = rate * time
16t + 14t = 270
30t = 270
t = 270/30
t = 9 seconds
:
How far will Romeo have to run?
He ran 9 sec at 16 ft/sec, therefore:
9 * 16 = 144 ft
:
:
You can confirm this, find how far J ran: 9 * 14 = 126 ft
126 + 144 = 270
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