SOLUTION: In the great race between Wanda and Freddie, both went around the 1/4-mile track three times. Wanda ran each lap at the rate of 8 miles per hour. Freddie ran the first lap at the r

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Question 804230: In the great race between Wanda and Freddie, both went around the 1/4-mile track three times. Wanda ran each lap at the rate of 8 miles per hour. Freddie ran the first lap at the rate of 10 miles per hour, the second lap at 8 miles per hour, and the third lap at six miles per hour. Use the formulas to solve each problem. Write the answers to the nearest tenth of a minute.
Rate x Time = Distance Time = Distance/Rate
How much time did it take Wanda to run one lap?
My answer: 1.9 minutes
How much time did it take Freddie to run the first lap? the second lap? the third lap?
My answer: 2.5 min, 1.9 min, 1.5 min
Who won the race? by how many minutes?
My answer: Wanda, by 0.2 minutes

Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You are very close. You did all of the calculations correctly, but you introduced round-off errors into your intermediate calculations. The rule is to NOT round anything until you get to your final answer.

So, you should have had 1.875 minutes for all of Wanda's laps and for Fred's lap #2. 0.25/8 = 0.03125. 0.03125 * 60 = 1.875.

Then for Fred's lap #1, .25/10 = 0.25. 0.25 * 60 = 1.5, and Lap #3, .25/6 approx. 0.04166 (close enough). 0.01466 * 60 = 2.5.

3 times 1.875 is 5.625 whereas 1.5 + 1.875 + 2.5 = 5.875 and 5.875 minus 5.625 is 0.25 which rounds to 0.3 minutes.

John

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Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Emphasis is on how much time.

Track size is 0.25 miles, (1/4) mile.
r%2At=d means also t=d%2Fr and time is in hours if done with no conversions.


Wanda
Lap 1, %281%2F4%29%2F8=1%2F32 hours
Lap 2, 1%2F32 hours
Lap 3, 1%2F32 hours


Freddie
Lap 1, %281%2F4%29%2F10=1%2F40 hours
Lap 2, %281%2F32%29 hours
Lap 3, %281%2F4%29%2F6=1%2F24 hours

Time for Wanda run one lap? %281%2F32%29%2A60=30%2F16=15%2F8=1.875 minutes, so 1.9 minutes is a good answer.

Time for Freddie to run first lap? %281%2F40%29%2A60=3%2F2=1%261%2F2 minutes.
Freddie's time to run the second lap? %281%2F32%29%2A60=1.875 or 1.9 minutes.
Freddie, third lap? %281%2F24%29%2A60=30%2F12=15%2F6=5%2F2=2%261%2F2 minutes.

You may work through the rest. You might have mixed-up two parts of Freddie's data.

---------------------------------
Wanda: 3%2A%2815%2F8%29 minutes.
Freddie: 1.5%2B1.875%2B2.5 minutes.
Convert as appropriate.