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09 Jul 2025, 13:22
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The correct answer is (A) Statement 1 is sufficient
Statement 1 - The question stem tells us that Leo at 36 at the same time Marco ate 30, therefore for similar amounts of time, the ratio of their hotdogs would be similar. Since statement 1 says Marco ate 6 less than Leo, this reflects the 30 and 36 from the question stem and fulfills that particular situation and we know that Marco ate 30 hotdogs in an hour on average.
Statement 2 - Leo eating 12 hotdogs in the first 20 minutes does not necessarily tell us about how many he ate in the full hour. Therefore we do not know enough about the rate per hour and this is not sufficient on its own to answer the question.
Statement 1 - The question stem tells us that Leo at 36 at the same time Marco ate 30, therefore for similar amounts of time, the ratio of their hotdogs would be similar. Since statement 1 says Marco ate 6 less than Leo, this reflects the 30 and 36 from the question stem and fulfills that particular situation and we know that Marco ate 30 hotdogs in an hour on average.
Statement 2 - Leo eating 12 hotdogs in the first 20 minutes does not necessarily tell us about how many he ate in the full hour. Therefore we do not know enough about the rate per hour and this is not sufficient on its own to answer the question.
09 Jul 2025, 14:22
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Marco's rate= 30/t
Leo's rate= 36/t
t is the time taken
we have to find Marco's rate so we need value of t.
Statement (1): Marco’s average rate was 6 hot dogs per hour less than Leo’s.
marco's rate= Leo's rate -6
30/t=(36/t) - 6
solving for t, t=1
Sufficient.
Statement (2): In the first 20 minutes, Leo ate 12 hot dogs.
We can find Leo's rate, but what about Marco's? we can not.
Insufficient.
A. Statement (1) alone is sufficient.
Leo's rate= 36/t
t is the time taken
we have to find Marco's rate so we need value of t.
Statement (1): Marco’s average rate was 6 hot dogs per hour less than Leo’s.
marco's rate= Leo's rate -6
30/t=(36/t) - 6
solving for t, t=1
Sufficient.
Statement (2): In the first 20 minutes, Leo ate 12 hot dogs.
We can find Leo's rate, but what about Marco's? we can not.
Insufficient.
A. Statement (1) alone is sufficient.
09 Jul 2025, 14:23
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Bunuel
We need time to calculate the rate.
1) The difference of rate can help us find the time. Hence, the statement alone is sufficient.
2) The information on Leo's rate don't help us find Marco's rate. For different value of Leo's rate , Marco can have different rates and hence, the average rate can vary.
Option A
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09 Jul 2025, 16:22
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L= 36 hot dogs, M=30 hot dogs
They competed for the same amount of time.
let the time be t
M's rate=30/t
(1) Marco’s average rate was 6 hot dogs per hour less than Leo’s.
30/t=(36/t)-6
30/t-36/t=-6
t=1
M's rate=30/1=30
(2) In the first 20 minutes, Leo ate 12 hot dogs.
with this we cannot conclude as we dont know if this could be the average rate or the rest of hotdogs were at which rate
IMO:A
They competed for the same amount of time.
let the time be t
M's rate=30/t
(1) Marco’s average rate was 6 hot dogs per hour less than Leo’s.
30/t=(36/t)-6
30/t-36/t=-6
t=1
M's rate=30/1=30
(2) In the first 20 minutes, Leo ate 12 hot dogs.
with this we cannot conclude as we dont know if this could be the average rate or the rest of hotdogs were at which rate
IMO:A
