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22 Dec 2025, 09:00
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Ship Alpha: 32
Ship Beta: 40
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
75% (02:38) correct
25%
(03:08)
wrong
based on 371
sessions
History
Date
Time
Result
Not Attempted Yet
12 Days of Christmas Competition
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Two cargo ships, Ship Alpha and Ship Beta, transport goods along a 400-nautical-mile channel. Ship Alpha makes the journey in k hours. Ship Beta makes the same journey in (k - 2.5) hours.
In the table, select for Ship Alpha a possible average speed (in nautical miles per hour) and select for Ship Beta a possible average speed (in nautical miles per hour) that would be jointly consistent with the given information. Make only two selections, one in each column.
I31-28
| Ship Alpha | Ship Beta | |
| 25 | ||
| 32 | ||
| 40 | ||
| 50 | ||
| 64 | ||
| 80 |
ShowHide Answer
Official Answer
Ship Alpha: 32
Ship Beta: 40
22 Dec 2025, 10:00
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Two cargo ships, Ship Alpha and Ship Beta, transport goods along a 400-nautical-mile channel. Ship Alpha makes the journey in k hours. Ship Beta makes the same journey in (k - 2.5) hours.
In the table, select for Ship Alpha a possible average speed (in nautical miles per hour) and select for Ship Beta a possible average speed (in nautical miles per hour) that would be jointly consistent with the given information. Make only two selections, one in each column.
The distance is 400 nautical miles. Ship Alpha takes k hours, Ship Beta takes k - 2.5 hours. So Beta is faster.
We need two speeds from the list such that the time difference is 2.5 hours. Time equals distance divided by speed.
Calculate the time for each speed:
- 25 knots: 400/25 = 16 hours
- 32 knots: 400/32 = 12.5 hours
- 40 knots: 400/40 = 10 hours
Stop!
We already have two times that differ by exactly 2.5 hours. The pair 12.5 hours and 10 hours gives a difference of 2.5 hours.
The slower ship, Alpha, has the longer time 12.5 hours, which corresponds to 32 knots.
The faster ship, Beta, has the shorter time 10 hours, which corresponds to 40 knots.
So select 32 knots for Ship Alpha and 40 knots for Ship Beta.
GMAT-Club-Forum-qy53k7s5.png [ 13.43 KiB | Viewed 2180 times ]
In the table, select for Ship Alpha a possible average speed (in nautical miles per hour) and select for Ship Beta a possible average speed (in nautical miles per hour) that would be jointly consistent with the given information. Make only two selections, one in each column.
The distance is 400 nautical miles. Ship Alpha takes k hours, Ship Beta takes k - 2.5 hours. So Beta is faster.
We need two speeds from the list such that the time difference is 2.5 hours. Time equals distance divided by speed.
Calculate the time for each speed:
- 25 knots: 400/25 = 16 hours
- 32 knots: 400/32 = 12.5 hours
- 40 knots: 400/40 = 10 hours
Stop!
We already have two times that differ by exactly 2.5 hours. The pair 12.5 hours and 10 hours gives a difference of 2.5 hours.
The slower ship, Alpha, has the longer time 12.5 hours, which corresponds to 32 knots.
The faster ship, Beta, has the shorter time 10 hours, which corresponds to 40 knots.
So select 32 knots for Ship Alpha and 40 knots for Ship Beta.
Attachment:
GMAT-Club-Forum-qy53k7s5.png [ 13.43 KiB | Viewed 2180 times ]
General Discussion
22 Dec 2025, 09:17
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taking out time for 1st ship using, speed as 32
400/32 = 12.5
now taking hour for second ship as 12.5 - 2.5 = 10
speed for the second boat is
400/10 = 40
answer is 32, 40
400/32 = 12.5
now taking hour for second ship as 12.5 - 2.5 = 10
speed for the second boat is
400/10 = 40
answer is 32, 40
22 Dec 2025, 09:44
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| S | T | D | |
| Alpha | 400/k | k | 400 |
| Beta | 400/(k-2.5) | k-2.5 | 400 |
Speed of Alpha < Speed of beta
Checking options
1. 400/k = 25 => k = 16
k-2.5 = 13.5
400/13.5 all options are integers, this doesn't work
2. 400/k = 32 => k = 12.5
k - 2.5 = 10
400/10 = 40
This works
Speed = 32 and 40
Bunuel
