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D
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Difficulty:
35%
(medium)
Question Stats:
78% (01:31) correct
22%
(02:31)
wrong
based on 41
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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.
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) 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.
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!
10 May 2025, 08:00
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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
General Discussion
04 May 2025, 10:17
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Bunuel
Emma and Nora are jogging at different Constant rates in the same direction.
Emma is 40 metres ahead of Nora.
To find: Time in seconds , when Nora will be 80 metres ahead of Emma.
Statement 1:
(1) 30 seconds ago, Emma was 70 meters ahead of Nora.
30 seconds, Emma is 70 metres ahead of Nora.
After 30 seconds, Emma is 40 metres ahead of Nora.
Relative Speed is 30 mts in 30 seconds.
80 metres ahead is after you have crossed 40 metres. Total distance is 120 metres.
Time taken is 120 seconds. Hence, Sufficient
Statement 2:
(2) Emma is jogging at 240 meters per minute and Nora is jogging at 300 meters per minute.
Emma speed = 240 metres in 60 seconds = 4 m/s.
Nora Speed = 300 metres in 60 seconds = 5 m/s.
Relative Speed = (5-4)m/s = 1 m/s.
80 metres ahead is after you have crossed 40 metres. Total distance is 120 metres.
Time taken is 120 seconds. Hence, Sufficient
Option D
