Question 483190: Hello! Can anyone pls. answer this problem, it's all about distance/rate problem.
I don't know how to start solving this problem. Pls. help me solve this.
Problem:
An automobile traveling at a certain rate can go from one province to another in 9 hours. If the rate were 12 kilometers per hour faster, the trip would require two hour less. What is the distance between provinces?
Pls. do answer this problem.
>>Thank You<<
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An automobile traveling at a certain rate can go from one province to another in 9 hours. If the rate were 12 kilometers per hour faster, the trip would require two hour less. What is the distance between provinces?
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1st trip DATA:
time = 9 hrs; rate = x kph ; distance = 9x km
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2nd trip DATA:
time = 7 hrs; rate = x+12 kph ; distance = 7(x+12) km
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Equation:
distance = distance
9x = 7(x+12)
9x = 7x + 84
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2x = 84
x = 42
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distance = 9*42 = 378 km
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Cheers,
Stan H.
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