Question 398210: I am being confused with the formula for figuring out the distance and time in this problem. Please help me with this.
Aya rode her bicycle from her house to a friend's house, averaging 16 kilometers per hour. It turned dark before she was ready to return home, so her friend drove her home at a rate of 80 kilometers per hour. If Aya's total traveling time was three hours, how far away did her friend live?
Thank you for your time.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Aya rode her bicycle from her house to a friend's house, averaging 16 kilometers per hour. It turned dark before she was ready to return home, so her friend drove her home at a rate of 80 kilometers per hour. If Aya's total traveling time was three hours, how far away did her friend live?
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To DATA:
rate = 16 km/hr ; distance = x km ; time = d/r = x/16 hrs
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From DATA:
rate = 80 km/hr ; distance = x km ; time = d/r = x/80 hrs
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Equation:
time + time = 3 hrs
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x/16 + x/80 = 3
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Multiply thru by 80 to get:
5x + x = 240
6x = 240
x = 40 km (distance to her friend's house).
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Cheers,
Stan H.
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