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16 Jul 2026, 07:19
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Maya: 25%, Felix: 50%, Nora: 25%
Maya: 50% of time, Nora: 2 hours
(1)
50% of time + 4 + 2 = time
50% of time = 6
time = 12
constant rate of Felix: work/time = (1/2)/4 = 1/8
constant rate of Maya: work/time = (1/4)/6 = 1/24
constant rate working together: 1/8+1/24 = 1/6
rate=1/6 means that they complete the work in 6 hours
Condition (1) is sufficient
(2)
50% of time + time of Felix + 2 = time
50% of time + (50% of time + 2)/2 + 2 = time
time + 50% of time + 2 + 4 = 2*time
50% of time = 6
time = 12
we just calculated rates previously with this info, so the answer is 6 hours.
Condition (2) is sufficient
The answer is D
Maya: 50% of time, Nora: 2 hours
(1)
50% of time + 4 + 2 = time
50% of time = 6
time = 12
constant rate of Felix: work/time = (1/2)/4 = 1/8
constant rate of Maya: work/time = (1/4)/6 = 1/24
constant rate working together: 1/8+1/24 = 1/6
rate=1/6 means that they complete the work in 6 hours
Condition (1) is sufficient
(2)
50% of time + time of Felix + 2 = time
50% of time + (50% of time + 2)/2 + 2 = time
time + 50% of time + 2 + 4 = 2*time
50% of time = 6
time = 12
we just calculated rates previously with this info, so the answer is 6 hours.
Condition (2) is sufficient
The answer is D
16 Jul 2026, 07:29
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Rate of each individual:
Maya = 1/M
Felix = 1/F
Nora = 1/N
Work done by each individual (Work=1) (not rate or time of work!)
Maya= 1/4
Felix= 50% of the remaining = 1-(1/4)=0.75 or 3/4 and 1/2 of 3/4 =0.75 or 3/8
Nora= Remaining job = (3/4)-(3/8) = 3/8
How long did each person work (Duration of each persons shift) ?
If total work duration = T
Maya =T/2
Felix=T-(T/2)-2= (T-4)/2
Nora= 2 hours
What does the question ask?
(1/((1/M)+(1/F)) -----> Hours Maya and Felix working together to finish the entire job
Rates of Each individual (Since we have time and work of each individual we can find out distinct rates)
Maya = (1/M)*(T/2)=(T/2M)
Felix= (T-4)/(2F)
Nora=(2/N)
Statement 1: Felix worked 4 hours on mural ------> T of Felix= (T-4/2) = 4 T= 12 ------> If we know T we can calculate individual rate of each person ------> in 4 hours Felix completed 3/8 of job = Rate of Felix is = 8/2F -----> (3/8)/(8/2F)=4 from this point on we don't need to do whole calculation we know it is sufficient
Statement 2: 2((T-4)/(2))=2+(T/2) -----> T=12 with T we can calculate each persons rate and reach the answer
Ans. D
IMO
Maya = 1/M
Felix = 1/F
Nora = 1/N
Work done by each individual (Work=1) (not rate or time of work!)
Maya= 1/4
Felix= 50% of the remaining = 1-(1/4)=0.75 or 3/4 and 1/2 of 3/4 =0.75 or 3/8
Nora= Remaining job = (3/4)-(3/8) = 3/8
How long did each person work (Duration of each persons shift) ?
If total work duration = T
Maya =T/2
Felix=T-(T/2)-2= (T-4)/2
Nora= 2 hours
What does the question ask?
(1/((1/M)+(1/F)) -----> Hours Maya and Felix working together to finish the entire job
Rates of Each individual (Since we have time and work of each individual we can find out distinct rates)
Maya = (1/M)*(T/2)=(T/2M)
Felix= (T-4)/(2F)
Nora=(2/N)
Statement 1: Felix worked 4 hours on mural ------> T of Felix= (T-4/2) = 4 T= 12 ------> If we know T we can calculate individual rate of each person ------> in 4 hours Felix completed 3/8 of job = Rate of Felix is = 8/2F -----> (3/8)/(8/2F)=4 from this point on we don't need to do whole calculation we know it is sufficient
Statement 2: 2((T-4)/(2))=2+(T/2) -----> T=12 with T we can calculate each persons rate and reach the answer
Ans. D
IMO
16 Jul 2026, 07:30
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Bookmarks
Both Statements are sufficient on their own
Sol
M + F+ N = 1(Work)
M painted = 25% = 1/4
F Painted = 50% = 1/2
N Painted = 25% =1/4
Let their times be M , F,N
so M time is 50% of total time so M= F+N
Nora worked for 2 hrs so
M= F+2
rate of painting for rM= 1/4/M
rF = 1/2/F
Need to find 1/( 1/4/M + 1/2/F )
Statement 1 - F worked 4 hrs so putting the values
1/ 1/4/M + 1/2/4 = 1/6
6 hrs is time taken
So statement 1 is sufficient
Statement 2 Total time M and N spent on mural was 2x time spent by F
so M+N = 2F
since N = 2
so M +2 = 2F
we know M = F+2 , putting values
F+2+2 = 2F
F =4
, then M = 6
So it took 6 hours , statement 2 is also sufficient
Sol
M + F+ N = 1(Work)
M painted = 25% = 1/4
F Painted = 50% = 1/2
N Painted = 25% =1/4
Let their times be M , F,N
so M time is 50% of total time so M= F+N
Nora worked for 2 hrs so
M= F+2
rate of painting for rM= 1/4/M
rF = 1/2/F
Need to find 1/( 1/4/M + 1/2/F )
Statement 1 - F worked 4 hrs so putting the values
1/ 1/4/M + 1/2/4 = 1/6
6 hrs is time taken
So statement 1 is sufficient
Statement 2 Total time M and N spent on mural was 2x time spent by F
so M+N = 2F
since N = 2
so M +2 = 2F
we know M = F+2 , putting values
F+2+2 = 2F
F =4
, then M = 6
So it took 6 hours , statement 2 is also sufficient
Bunuel
