SOLUTION: A car traveled for 1/2 hour at r mi/h, then increased the speed by 10 mi/h and traveled for 1 1/2 hours more. How far did the car go? (Express the answer in terms of r)

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Question 87011: A car traveled for 1/2 hour at r mi/h, then increased the speed by 10 mi/h and traveled for 1 1/2 hours more. How far did the car go? (Express the answer in terms of r)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A car traveled for 1/2 hour at r mi/h, then increased the speed by 10 mi/h and traveled for 1 1/2 hours more. How far did the car go? (Express the answer in terms of r)
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1st half-hour DATA:
Rate = r mph ; Time = 1/2 hr ; distance = rt = (1/2)r miles
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Next 1 1/2 hr DATA:
Rate = (r+10) mph ; Time = (3/2) hr ; Distance = rt = (r+10)*(3/2)
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Total Distance
= (1/2)r + (3/2)r + 15
= (2r+15) miles
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Cheers,
Stan H.