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01 May 2025, 11:25
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
55% (01:46) correct
45%
(02:01)
wrong
based on 138
sessions
History
Date
Time
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Not Attempted Yet
At 7:00 am, Emma and Noah start biking toward each other from City A and City B, respectively, along the same route. If Emma bikes at a constant speed that is twice the constant speed at which Noah bikes, at what time does Noah reach City A?
(1) The distance between City A and City B is 90 kilometers.
(2) At 7:45 am, the two cyclists pass each other.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) The distance between City A and City B is 90 kilometers.
(2) At 7:45 am, the two cyclists pass each other.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
11 May 2025, 03:30
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Official Solution:
At 7:00 am, Emma and Noah start biking toward each other from City A and City B, respectively, along the same route. If Emma bikes at a constant speed that is twice the constant speed at which Noah bikes, at what time does Noah reach City A?
(1) The distance between City A and City B is 90 kilometers.
Without knowing either cyclist's speed, we cannot calculate the time it takes Noah to reach City A. Not sufficient.
(2) At 7:45 am, the two cyclists pass each other.
This implies that Emma took 45 minutes to reach the meeting point. Since the distance from City A to the meeting point is exactly the distance Noah still needs to cover to reach City A, and he bikes at half of Emma’s speed, he would need 90 minutes to complete it. Therefore, Noah will reach City A at 7:45 am + 90 minutes = 9:15 am. Sufficient.
Answer: B
At 7:00 am, Emma and Noah start biking toward each other from City A and City B, respectively, along the same route. If Emma bikes at a constant speed that is twice the constant speed at which Noah bikes, at what time does Noah reach City A?
(1) The distance between City A and City B is 90 kilometers.
Without knowing either cyclist's speed, we cannot calculate the time it takes Noah to reach City A. Not sufficient.
(2) At 7:45 am, the two cyclists pass each other.
This implies that Emma took 45 minutes to reach the meeting point. Since the distance from City A to the meeting point is exactly the distance Noah still needs to cover to reach City A, and he bikes at half of Emma’s speed, he would need 90 minutes to complete it. Therefore, Noah will reach City A at 7:45 am + 90 minutes = 9:15 am. Sufficient.
Answer: B
General Discussion
01 May 2025, 18:46
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E: Speed of Emma
N: Speed of Noah
E=2N;
From Statement 1: Distance: 90 KM;
It is not sufficient to calculate the absolute time value.
From Statement 2: At 7:45, both pass each other. This means both have covered a total distance equivalent to the distance between the two cities.
Since both were travelling in opposite directions, the resultant speed would be the sum of the two speeds. E + N = 3N;
With this speed total distance was covered in 45 minutes, hence the distance between the two cities must be a multiple of speed and time: 3N * 45 min;
And the time taken by Noah must be the total distance divided by speed: 3N*45 / N;
Sufficient.
N: Speed of Noah
E=2N;
From Statement 1: Distance: 90 KM;
It is not sufficient to calculate the absolute time value.
From Statement 2: At 7:45, both pass each other. This means both have covered a total distance equivalent to the distance between the two cities.
Since both were travelling in opposite directions, the resultant speed would be the sum of the two speeds. E + N = 3N;
With this speed total distance was covered in 45 minutes, hence the distance between the two cities must be a multiple of speed and time: 3N * 45 min;
And the time taken by Noah must be the total distance divided by speed: 3N*45 / N;
Sufficient.
