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Jeff and Ali race each other at the Tentleytown Speedway.
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08 Dec 2017, 20:56
08 Dec 2017, 20:56
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Question Stats:
31% (01:37) correct
68% (02:01) wrong based on 57 sessions
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Jeff and Ali race each other at the Tentleytown Speedway. Ali’s car travels at 300 feet per second, and Je?’s car travels at 250 feet per second. If one lap around the track is 3000 feet long, and each car travels at a constant rate, how many laps will it take Ali to overtake Jeff?
A. 1
B. 5
C. 6
D. 10
E. 60
A. 1
B. 5
C. 6
D. 10
E. 60
Drill 4
Question: 2
Page: 531
Question: 2
Page: 531
Re: Jeff and Ali race each other at the Tentleytown Speedway.
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29 Dec 2017, 15:39
29 Dec 2017, 15:39
1
1
Expert Reply
1
Bookmarks
Explanation
Use the Rate Pie.
Ali is traveling 50 feet per second faster than Jeff is traveling. Therefore, that is the rate at which she is effectively gaining ground on him. Put that in the
lower-right segment of the Rate Pie. We want to know how long it will take her to gain 3,000 feet on him.
Put 3,000 in the top section of the Rate Pie. Now you can see that dividing \(\frac{3000}{50}\) will fill in the last segment of the Rate Pie, telling you how long it takes Ali to do so is 60 seconds. Be aware that choice (E) is an incorrect partial answer.
Now you need to find out how many feet Ali will travel in 60 seconds, by multiplying 60 second × 300 feet per second, which equals 18,000 feet. Divide 18,000 feet by the length of one lap, or 3,000 feet, and you’ll find that it will take Ali 6 laps to overtake Jeff.
Hence option C is correct!
Use the Rate Pie.
Ali is traveling 50 feet per second faster than Jeff is traveling. Therefore, that is the rate at which she is effectively gaining ground on him. Put that in the
lower-right segment of the Rate Pie. We want to know how long it will take her to gain 3,000 feet on him.
Put 3,000 in the top section of the Rate Pie. Now you can see that dividing \(\frac{3000}{50}\) will fill in the last segment of the Rate Pie, telling you how long it takes Ali to do so is 60 seconds. Be aware that choice (E) is an incorrect partial answer.
Now you need to find out how many feet Ali will travel in 60 seconds, by multiplying 60 second × 300 feet per second, which equals 18,000 feet. Divide 18,000 feet by the length of one lap, or 3,000 feet, and you’ll find that it will take Ali 6 laps to overtake Jeff.
Hence option C is correct!
Re: Jeff and Ali race each other at the Tentleytown Speedway.
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29 Dec 2017, 22:37
29 Dec 2017, 22:37
sandy wrote:
Explanation
Use the Rate Pie.
Ali is traveling 50 feet per second faster than Jeff is traveling. Therefore, that is the rate at which she is effectively gaining ground on him. Put that in the
lower-right segment of the Rate Pie. We want to know how long it will take her to gain 3,000 feet on him.
Put 3,000 in the top section of the Rate Pie. Now you can see that dividing \(\frac{3000}{50}\) will fill in the last segment of the Rate Pie, telling you how long it takes Ali to do so is 60 seconds. Be aware that choice (E) is an incorrect partial answer.
Now you need to find out how many feet Ali will travel in 60 seconds, by multiplying 60 second × 300 feet per second, which equals 18,000 feet. Divide 18,000 feet by the length of one lap, or 3,000 feet, and you’ll find that it will take Ali 6 laps to overtake Jeff.
Hence option B is correct!
Use the Rate Pie.
Ali is traveling 50 feet per second faster than Jeff is traveling. Therefore, that is the rate at which she is effectively gaining ground on him. Put that in the
lower-right segment of the Rate Pie. We want to know how long it will take her to gain 3,000 feet on him.
Put 3,000 in the top section of the Rate Pie. Now you can see that dividing \(\frac{3000}{50}\) will fill in the last segment of the Rate Pie, telling you how long it takes Ali to do so is 60 seconds. Be aware that choice (E) is an incorrect partial answer.
Now you need to find out how many feet Ali will travel in 60 seconds, by multiplying 60 second × 300 feet per second, which equals 18,000 feet. Divide 18,000 feet by the length of one lap, or 3,000 feet, and you’ll find that it will take Ali 6 laps to overtake Jeff.
Hence option B is correct!
Answer should be C anyway. since B is 5 laps
