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Joe always runs around the track at a rate of 30 laps per 75 minutes,
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26 Dec 2023, 00:48
26 Dec 2023, 00:48
Expert Reply
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Question Stats:
68% (02:09) correct
31% (02:15) wrong based on 16 sessions
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Joe always runs around the track at a rate of 30 laps per 75 minutes, and Carl always runs around the track at a rate of 20 laps per 40 minutes. They start running at the same time.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Time taken, in minutes, for Joeand Carl to run a combined distance of 99 laps |
222.75 minutes |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: Joe always runs around the track at a rate of 30 laps per 75 minutes,
[#permalink]
06 Jan 2024, 23:03
06 Jan 2024, 23:03
1
joe 30 laps in 75 min
carl 20 lap in 40 mins
joe 20 laps in = 75/30 * 20 = 50 min
therefore 40 laps of joe = 100 mins , 40 laps of carl = 80 mins
19 laps remaining, 10 laps of carl = 20 mins, 9 laps of joe = 22. 5 mins
joe total time for 49 laps =100+22.5 = 122.5 mins
carl total time for 50 laps = 80 + 20 = 100 mins
122.5 + 100 = 222.5 mins
QA<QB
carl 20 lap in 40 mins
joe 20 laps in = 75/30 * 20 = 50 min
therefore 40 laps of joe = 100 mins , 40 laps of carl = 80 mins
19 laps remaining, 10 laps of carl = 20 mins, 9 laps of joe = 22. 5 mins
joe total time for 49 laps =100+22.5 = 122.5 mins
carl total time for 50 laps = 80 + 20 = 100 mins
122.5 + 100 = 222.5 mins
QA<QB
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Joined: 11 Nov 2023
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Re: Joe always runs around the track at a rate of 30 laps per 75 minutes,
[#permalink]
09 Jan 2024, 20:26
09 Jan 2024, 20:26
1
Distance = Rate x Time, or Rate = Distance/Time
Joe's rate = 30 laps / 75 min = 0.4 laps / min
Carl's rate = 20 laps / 40 min = 0.5 laps / min
Since they start at the same time and it's asking for a combined distance of 99 laps, plug the rates back in:
(Joe's rate + Carl's rate) * time = 99 laps
(0.4 + 0.5) laps/min * time = 99 laps
time = 110 min
Joe's rate = 30 laps / 75 min = 0.4 laps / min
Carl's rate = 20 laps / 40 min = 0.5 laps / min
Since they start at the same time and it's asking for a combined distance of 99 laps, plug the rates back in:
(Joe's rate + Carl's rate) * time = 99 laps
(0.4 + 0.5) laps/min * time = 99 laps
time = 110 min
