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01 May 2025, 11:23
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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.
(1) The distance between City A and City B is 90 kilometers.
(2) At 7:45 am, the two cyclists pass each other.
01 May 2025, 11:23
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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
13 May 2025, 23:48
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Hi Bunuel, I know that its not given in the question but can we not assume of a stoppage during their journeys which would increase the overall time? And since we have no information of the stoppage, even combining the two statements would not be sufficient?
