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C
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Difficulty:
95%
(hard)
Question Stats:
33% (02:06) correct
67%
(01:52)
wrong
based on 75
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Elena left Riverton and drove to Lakehurst, which is 420 kilometers away. At the same time, Marta left Lakehurst and drove along the same route to Riverton. If neither driver ever exceeded the speed limit of 80 kilometers per hour, did Marta reach Riverton before Elena reached Lakehurst?
(1) After 4 hours of driving, they passed each other at a point 140 kilometers from Riverton.
(2) Marta’s average (arithmetic mean) speed for the entire trip was 70 kilometers per hour.
(1) After 4 hours of driving, they passed each other at a point 140 kilometers from Riverton.
(2) Marta’s average (arithmetic mean) speed for the entire trip was 70 kilometers per hour.
09 May 2026, 01:30
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GMAT Club Official Solution:
Elena left Riverton and drove to Lakehurst, which is 420 kilometers away. At the same time, Marta left Lakehurst and drove along the same route to Riverton. If neither driver ever exceeded the speed limit of 80 kilometers per hour, did Marta reach Riverton before Elena reached Lakehurst?
(1) After 4 hours of driving, they passed each other at a point 140 kilometers from Riverton.
After 4 hours, Elena had driven 140 kilometers, so she still had 280 kilometers left. Marta had driven 280 kilometers, so she still had 140 kilometers left. But this alone is not enough. After that point, either driver could speed up to the limit of 80 kilometers per hour or slow down to 0 kilometers per hour. Not sufficient.
(2) Marta’s average (arithmetic mean) speed for the entire trip was 70 kilometers per hour.
This implies her total travel time was 420/70 = 6 hours. But this tells us nothing definite about Elena’s total travel time. Not sufficient.
(1)+(2):
From (2), Marta completed the trip in 6 hours.
From (1), after 4 hours Elena still had 280 kilometers left.
Even if Elena drove the rest at the maximum allowed speed of 80 kilometers per hour, she would still need 280/80 = 3.5 hours. So Elena’s total travel time would be at least 4 hours to the meeting point + 3.5 hours = 7.5 hours. Therefore, Marta, who took 6 hours to complete the trip, did reach Riverton before Elena reached Lakehurst. Sufficient.
Answer: C.
Elena left Riverton and drove to Lakehurst, which is 420 kilometers away. At the same time, Marta left Lakehurst and drove along the same route to Riverton. If neither driver ever exceeded the speed limit of 80 kilometers per hour, did Marta reach Riverton before Elena reached Lakehurst?
(1) After 4 hours of driving, they passed each other at a point 140 kilometers from Riverton.
After 4 hours, Elena had driven 140 kilometers, so she still had 280 kilometers left. Marta had driven 280 kilometers, so she still had 140 kilometers left. But this alone is not enough. After that point, either driver could speed up to the limit of 80 kilometers per hour or slow down to 0 kilometers per hour. Not sufficient.
(2) Marta’s average (arithmetic mean) speed for the entire trip was 70 kilometers per hour.
This implies her total travel time was 420/70 = 6 hours. But this tells us nothing definite about Elena’s total travel time. Not sufficient.
(1)+(2):
From (2), Marta completed the trip in 6 hours.
From (1), after 4 hours Elena still had 280 kilometers left.
Even if Elena drove the rest at the maximum allowed speed of 80 kilometers per hour, she would still need 280/80 = 3.5 hours. So Elena’s total travel time would be at least 4 hours to the meeting point + 3.5 hours = 7.5 hours. Therefore, Marta, who took 6 hours to complete the trip, did reach Riverton before Elena reached Lakehurst. Sufficient.
Answer: C.
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