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05 Apr 2026, 19:00
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C
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During an overnight run, a server handled two types of jobs: validation jobs and migration jobs. Every validation job took the same amount of time, and every migration job took the same amount of time. If each migration job took 6 minutes longer than each validation job, what was the average (arithmetic mean) processing time per job for all the jobs handled in that run?
(1) The total time spent on validation jobs was three times the total time spent on migration jobs.
(2) The server handled five times as many validation jobs as migration jobs.
(1) The total time spent on validation jobs was three times the total time spent on migration jobs.
(2) The server handled five times as many validation jobs as migration jobs.
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13 Apr 2026, 01:15
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GMAT Club Official Solution:
During an overnight run, a server handled two types of jobs: validation jobs and migration jobs. Every validation job took the same amount of time, and every migration job took the same amount of time. If each migration job took 6 minutes longer than each validation job, what was the average (arithmetic mean) processing time per job for all the jobs handled in that run?
Let the processing time for each validation job be v minutes. Then the processing time for each migration job was v + 6 minutes.
(1) The total time spent on validation jobs was three times the total time spent on migration jobs.
Let the number of validation jobs be x and the number of migration jobs be y. Then the total time spent on validation jobs was vx, and the total time spent on migration jobs was (v + 6)y. (1) gives:
vx = 3(v + 6)y
Since both the counts and v are unknown, the average processing time cannot be determined. Not sufficient.
(2) The server handled five times as many validation jobs as migration jobs.
Let the number of migration jobs be y. Then the number of validation jobs was 5y. The average processing time per job was
(5vy + (v + 6)y)/(6y) = (6v + 6)/6 = v + 1
Since v is unknown, the average processing time cannot be determined. Not sufficient.
(1)+(2) From (2), x = 5y. Substitute into (1):
5vy = 3(v + 6)y
5v = 3v + 18
v = 9
So each validation job took 9 minutes, and each migration job took 15 minutes. Using the 5:1 ratio from statement (2), the average processing time per job was:
(5 * 9 + 15)/6 = 10
Sufficient.
Answer: C.
During an overnight run, a server handled two types of jobs: validation jobs and migration jobs. Every validation job took the same amount of time, and every migration job took the same amount of time. If each migration job took 6 minutes longer than each validation job, what was the average (arithmetic mean) processing time per job for all the jobs handled in that run?
Let the processing time for each validation job be v minutes. Then the processing time for each migration job was v + 6 minutes.
(1) The total time spent on validation jobs was three times the total time spent on migration jobs.
Let the number of validation jobs be x and the number of migration jobs be y. Then the total time spent on validation jobs was vx, and the total time spent on migration jobs was (v + 6)y. (1) gives:
vx = 3(v + 6)y
Since both the counts and v are unknown, the average processing time cannot be determined. Not sufficient.
(2) The server handled five times as many validation jobs as migration jobs.
Let the number of migration jobs be y. Then the number of validation jobs was 5y. The average processing time per job was
(5vy + (v + 6)y)/(6y) = (6v + 6)/6 = v + 1
Since v is unknown, the average processing time cannot be determined. Not sufficient.
(1)+(2) From (2), x = 5y. Substitute into (1):
5vy = 3(v + 6)y
5v = 3v + 18
v = 9
So each validation job took 9 minutes, and each migration job took 15 minutes. Using the 5:1 ratio from statement (2), the average processing time per job was:
(5 * 9 + 15)/6 = 10
Sufficient.
Answer: C.
General Discussion
05 Apr 2026, 23:09
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There is no inequality asked in this problem. It wants the exact value here.
Average = Total time spent / Total jobs
Statement 1:
Ratio of total time spent given. No idea of no.of jobs.
INSUFFICIENT
Statement 2:
Similarly no.of jobs given but no total time spent given.
INSUFFICIENT
Combining the two:
Firstly we are also given the time taken in relation to each other.
So each Validation takes 6 mins lesser than Migration.
We can keep x=Migration. So 3x=Validation for total time for each.
We can keep y=Migration. So 5y = Validation for total jobs for each.
Combining initially we get 3x+x/5y+y = 4x/6y.
We need x/y ratio.
Now using 6 mins lesser info we see that.
Validation Total time = Time per job*Total jobs.
3x = z*(5y) [Here we take z=time per job]
x = (z+6)*y.
Looks like 3 variables not solvable but we have y getting cancelled out after equating and we see z=9.
Once we know z=9, we can find x/y ratio or y/x ratio and insert it back to find answer.
SUFFICIENT.
Answer: Option C
Average = Total time spent / Total jobs
Statement 1:
Ratio of total time spent given. No idea of no.of jobs.
INSUFFICIENT
Statement 2:
Similarly no.of jobs given but no total time spent given.
INSUFFICIENT
Combining the two:
Firstly we are also given the time taken in relation to each other.
So each Validation takes 6 mins lesser than Migration.
We can keep x=Migration. So 3x=Validation for total time for each.
We can keep y=Migration. So 5y = Validation for total jobs for each.
Combining initially we get 3x+x/5y+y = 4x/6y.
We need x/y ratio.
Now using 6 mins lesser info we see that.
Validation Total time = Time per job*Total jobs.
3x = z*(5y) [Here we take z=time per job]
x = (z+6)*y.
Looks like 3 variables not solvable but we have y getting cancelled out after equating and we see z=9.
Once we know z=9, we can find x/y ratio or y/x ratio and insert it back to find answer.
SUFFICIENT.
Answer: Option C
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