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15 Jul 2026, 08:00
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Maya, Felix, and Nora painted a mural at a community center in consecutive shifts, each at a constant hourly rate. Maya painted the first 25% of the mural, Felix painted the next 50%, and Nora painted the remainder. If Maya’s shift accounted for 50% of the total time spent on the mural and Nora worked for 2 hours, how many hours would it have taken Maya and Felix to complete the entire mural if they had worked together from start to finish at their same respective constant rates?
(1) Felix worked on the mural for 4 hours.
(2) The total time Maya and Nora spent on the mural was twice the time Felix spent on the mural.
(1) Felix worked on the mural for 4 hours.
(2) The total time Maya and Nora spent on the mural was twice the time Felix spent on the mural.
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M46-56
15 Jul 2026, 09:00
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GMAT Club Official Solution:
Maya, Felix, and Nora painted a mural at a community center in consecutive shifts, each at a constant hourly rate. Maya painted the first 25% of the mural, Felix painted the next 50%, and Nora painted the remainder. If Maya’s shift accounted for 50% of the total time spent on the mural and Nora worked for 2 hours, how many hours would it have taken Maya and Felix to complete the entire mural if they had worked together from start to finish at their same respective constant rates?
Let M be the number of hours Maya worked, and let F be the number of hours Felix worked. Nora worked for 2 hours. Since Maya’s shift accounted for 50% of the total time spent on the mural:
M = 1/2 * (M + F + 2)
M = F + 2
Maya painted 25% of the mural, or 1/4 of the mural, in M hours. So Maya’s hourly rate was:
(1/4)/M = 1/(4M)
Felix painted 50% of the mural, or 1/2 of the mural, in F hours. So Felix’s hourly rate was:
(1/2)/F = 1/(2F)
The question asks how long Maya and Felix would take to paint the entire mural together. So to determine their combined time, we need enough information to determine both M and F.
(1) Felix worked on the mural for 4 hours.
So F = 4. Since M = F + 2:
M = 4 + 2 = 6
Now Maya’s and Felix’s rates are fixed, so their combined time is fixed.
Sufficient.
(2) The total time Maya and Nora spent on the mural was twice the time Felix spent on the mural.
This gives:
M + 2 = 2F
From the stem:
M = F + 2
So:
(F + 2) + 2 = 2F
F = 4
Then:
M = F + 2 = 6
Now Maya’s and Felix’s rates are fixed, so their combined time is fixed.
Sufficient.
Answer: D.
For reference, if M = 6 and F = 4, then Maya’s rate is:
1/(4 * 6) = 1/24
Felix’s rate is:
1/(2 * 4) = 1/8
Their combined rate is:
1/24 + 1/8 = 1/24 + 3/24 = 4/24 = 1/6
So together, Maya and Felix would complete the mural in 6 hours.
Maya, Felix, and Nora painted a mural at a community center in consecutive shifts, each at a constant hourly rate. Maya painted the first 25% of the mural, Felix painted the next 50%, and Nora painted the remainder. If Maya’s shift accounted for 50% of the total time spent on the mural and Nora worked for 2 hours, how many hours would it have taken Maya and Felix to complete the entire mural if they had worked together from start to finish at their same respective constant rates?
Let M be the number of hours Maya worked, and let F be the number of hours Felix worked. Nora worked for 2 hours. Since Maya’s shift accounted for 50% of the total time spent on the mural:
M = 1/2 * (M + F + 2)
M = F + 2
Maya painted 25% of the mural, or 1/4 of the mural, in M hours. So Maya’s hourly rate was:
(1/4)/M = 1/(4M)
Felix painted 50% of the mural, or 1/2 of the mural, in F hours. So Felix’s hourly rate was:
(1/2)/F = 1/(2F)
The question asks how long Maya and Felix would take to paint the entire mural together. So to determine their combined time, we need enough information to determine both M and F.
(1) Felix worked on the mural for 4 hours.
So F = 4. Since M = F + 2:
M = 4 + 2 = 6
Now Maya’s and Felix’s rates are fixed, so their combined time is fixed.
Sufficient.
(2) The total time Maya and Nora spent on the mural was twice the time Felix spent on the mural.
This gives:
M + 2 = 2F
From the stem:
M = F + 2
So:
(F + 2) + 2 = 2F
F = 4
Then:
M = F + 2 = 6
Now Maya’s and Felix’s rates are fixed, so their combined time is fixed.
Sufficient.
Answer: D.
For reference, if M = 6 and F = 4, then Maya’s rate is:
1/(4 * 6) = 1/24
Felix’s rate is:
1/(2 * 4) = 1/8
Their combined rate is:
1/24 + 1/8 = 1/24 + 3/24 = 4/24 = 1/6
So together, Maya and Felix would complete the mural in 6 hours.
General Discussion
vrinda6
Joined: 20 Jul 2020
Last visit: 05 Sep 2026
Posts: 65
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Location: India
Schools: Booth '27 Kellogg '27 CBS '27 Duke '27 Haas '27 HBS '27 Ross '27 Stern '27 Stanford '27 Wharton '27 Anderson '27
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Schools: Booth '27 Kellogg '27 CBS '27 Duke '27 Haas '27 HBS '27 Ross '27 Stern '27 Stanford '27 Wharton '27 Anderson '27
Posts: 65
15 Jul 2026, 08:18
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Answer : D
let maya's time= M
felix's time= F
Nora's time= N
We know:
50% of total time= M= 1/2 (M+F+2)
Now lets get to the statements:
Statement 1:
F= 4 hours
total time= M+4+2
USING STEM STATEMENT
M= 1/2 (M+4+2)
M=6
Sufficient.
Statement 2:
M+2= 2F
PUTTING THIS IN THE STEM AND SUBSTITUTING WE GET
F=4, M=6
Sufficient
let maya's time= M
felix's time= F
Nora's time= N
We know:
50% of total time= M= 1/2 (M+F+2)
Now lets get to the statements:
Statement 1:
F= 4 hours
total time= M+4+2
USING STEM STATEMENT
M= 1/2 (M+4+2)
M=6
Sufficient.
Statement 2:
M+2= 2F
PUTTING THIS IN THE STEM AND SUBSTITUTING WE GET
F=4, M=6
Sufficient
15 Jul 2026, 08:23
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let the total time be T
Maya took half the time 0.5T = M
Nora took 2 hrs - 2 hrs = N
Felix we don't know let it be F
T = 0.5T + F + 2 => 0.5T = F + 2
unknown variables - T and F
let the total work be 100
Maya did 25% of work = 25
Felix did 50% of work = 50
and Nora remaining = 25
Rates of Maya = 25/M
Felix = 50/F
total hours of both Maya and Felix X = 100/ (25/M +50/F) = 100/ (50/T + 50/F) = 100/ 50 (T+F/TF) = 2TF/ (T+F)
again two variables
S1 - gives F = 4. we can solve for T so sufficient
S2 - gives F = 2 (M+N) = 2 (0.5T+2) again F and T can be solved
so, D
Maya took half the time 0.5T = M
Nora took 2 hrs - 2 hrs = N
Felix we don't know let it be F
T = 0.5T + F + 2 => 0.5T = F + 2
unknown variables - T and F
let the total work be 100
Maya did 25% of work = 25
Felix did 50% of work = 50
and Nora remaining = 25
Rates of Maya = 25/M
Felix = 50/F
total hours of both Maya and Felix X = 100/ (25/M +50/F) = 100/ (50/T + 50/F) = 100/ 50 (T+F/TF) = 2TF/ (T+F)
again two variables
S1 - gives F = 4. we can solve for T so sufficient
S2 - gives F = 2 (M+N) = 2 (0.5T+2) again F and T can be solved
so, D
