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Emma and Nora are jogging at different constant rates in the same direction on a straight path. If Emma is now 40 meters ahead of Nora, how many seconds from now will Nora be 80 meters ahead of Emma?
(1) 30 seconds ago, Emma was 70 meters ahead of Nora.
(2) Emma is jogging at 240 meters per minute and Nora is jogging at 300 meters per minute.
(1) 30 seconds ago, Emma was 70 meters ahead of Nora.
(2) Emma is jogging at 240 meters per minute and Nora is jogging at 300 meters per minute.
29 Apr 2025, 14:58
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Official Solution:
Emma and Nora are jogging at different constant rates in the same direction on a straight path. If Emma is now 40 meters ahead of Nora, how many seconds from now will Nora be 80 meters ahead of Emma?
We are asked to find the time Nora will require to gain a total of 40 + 80 = 120 meters over Emma. That is, the time it takes her to eliminate the current 40-meter gap and then move 80 meters ahead.
(1) 30 seconds ago, Emma was 70 meters ahead of Nora.
This implies that in the past 30 seconds, Nora gained 30 meters over Emma. To gain the required 120 meters, which is four times that distance, she would need four times as much time, so 4 * 30 = 120 seconds. Sufficient.
(2) Emma is jogging at 240 meters per minute and Nora is jogging at 300 meters per minute.
This implies that Nora’s relative speed is 60 meters per minute, so Nora gains 60 meters over Emma in one minute. To gain the required 120 meters, which is twice that distance, she would need twice the time, so 2 minutes = 120 seconds. Sufficient.
Answer: D
Emma and Nora are jogging at different constant rates in the same direction on a straight path. If Emma is now 40 meters ahead of Nora, how many seconds from now will Nora be 80 meters ahead of Emma?
We are asked to find the time Nora will require to gain a total of 40 + 80 = 120 meters over Emma. That is, the time it takes her to eliminate the current 40-meter gap and then move 80 meters ahead.
(1) 30 seconds ago, Emma was 70 meters ahead of Nora.
This implies that in the past 30 seconds, Nora gained 30 meters over Emma. To gain the required 120 meters, which is four times that distance, she would need four times as much time, so 4 * 30 = 120 seconds. Sufficient.
(2) Emma is jogging at 240 meters per minute and Nora is jogging at 300 meters per minute.
This implies that Nora’s relative speed is 60 meters per minute, so Nora gains 60 meters over Emma in one minute. To gain the required 120 meters, which is twice that distance, she would need twice the time, so 2 minutes = 120 seconds. Sufficient.
Answer: D
16 Jun 2025, 20:32
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Hi Bunuel, are we assuming here that Emma will not move? because for me Nora must cover 40 mts + Distance that Emma cover in the same time asked + 80 mts.
Bunuel
