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Difficulty:
45%
(medium)
Question Stats:
79% (02:50) correct
21%
(02:47)
wrong
based on 81
sessions
History
Date
Time
Result
Not Attempted Yet
Two people, John and Clara, are walking along the same road from Town X to Town Y, a distance of 21 kilometers. John walks at 3 kilometers per hour, while Clara walks at 4 kilometers per hour. Clara reaches Town Y, immediately turns back along the same road, and meets John at point R while John continues walking toward Town Y. What is the distance from Town X to R?
A. 12 km
B. 15 km
C. 16.8 km
D. 18 km
E. 20 km
A. 12 km
B. 15 km
C. 16.8 km
D. 18 km
E. 20 km
M47-40
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GMAT Club Official Solution:
Clara reaches Town Y in 21/4 hours, so by then John has walked 3 * 21/4 = 63/4 km.
At that moment Clara turns back, and they move toward each other, so the gap closes at 4 + 3 = 7 km/h.
The gap is 21 - 63/4 = 21/4 km, so time to meet is (21/4)/7 = 3/4 hour.
In 3/4 hour, John walks 3 * 3/4 = 9/4 km more, so distance X to R is 63/4 + 9/4 = 18 km.
Answer: D.
General Discussion
11 Feb 2026, 00:21
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Since the time (t) is constant for both walkers until they meet, the distance they travel is directly proportional to their speeds.
Ratio of Speeds (John : Clara) = 3 : 4
Ratio of Distances (John : Clara) = 3 : 4
Total "parts" of distance = 3 + 4 = 7 units.
We know the total distance covered by both is 2 * 21 = 42 km.
1 unit = 42/7 = 6 km.
John’s distance (X to R) = 3 units * 6 = 18 km.
Correct Answer: D (18 km)
Ratio of Speeds (John : Clara) = 3 : 4
Ratio of Distances (John : Clara) = 3 : 4
Total "parts" of distance = 3 + 4 = 7 units.
We know the total distance covered by both is 2 * 21 = 42 km.
1 unit = 42/7 = 6 km.
John’s distance (X to R) = 3 units * 6 = 18 km.
Correct Answer: D (18 km)
