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26 Oct 2021, 08:45
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
72% (02:41) correct
28%
(03:17)
wrong
based on 354
sessions
History
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It takes the average dryer 80 minutes to dry one full load of Bob's laundry. Bob has one average dryer, and also decides to try one "Super Jumbo-Iron Dryer-Matic", which is faster than the average dryer by a ratio of 5 : 4. Bob has three loads of laundry, and both machines are so precise that he can set them to the minute. How many minutes does it take for him to dry his three loads? (Assume that no time passes between loads and that he can use both machines concurrently. Assume also that he never runs a machine with less than a full load. Finally, assume that Bob does not partially dry a load in one machine and then switch it to the other.)
(A) 128 min
(B) 130 min
(C) 132 min
(D) 125 min
(E) 121 min
(A) 128 min
(B) 130 min
(C) 132 min
(D) 125 min
(E) 121 min
Vatsal7794
GMAT 1: 660 Q44 V36
Posts: 246
26 Oct 2021, 12:59
Kudos
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M(A) = Average Dryer
M(B) = Super Jumbo Dryer
Time taken by M(A) = 80mins
Time Taken by M(B) = (80/5) *4 = 64
Now it has been said that we both machines start at the same time without any gap
Lets put first load of cloths in M(A) = Time taken = 80
Lets put the second load of clothes in M(b) = Time taken = 64
M(B) will finish drying first and M(A) will need 16 mins more
As soon as M(B) finish washing we can put the third loads of cloth in M(B) meanwhile M(A) is still running
Now for Third Loads to complete drying in M(B) we need 64 mins but 16 mins is already there for M(B)
So remaining time is 64 - 16 = 48
Total time = 80+48 = 128
Please comment if you there is anything wrong or if you faced any problem with my solution
M(B) = Super Jumbo Dryer
Time taken by M(A) = 80mins
Time Taken by M(B) = (80/5) *4 = 64
Now it has been said that we both machines start at the same time without any gap
Lets put first load of cloths in M(A) = Time taken = 80
Lets put the second load of clothes in M(b) = Time taken = 64
M(B) will finish drying first and M(A) will need 16 mins more
As soon as M(B) finish washing we can put the third loads of cloth in M(B) meanwhile M(A) is still running
Now for Third Loads to complete drying in M(B) we need 64 mins but 16 mins is already there for M(B)
So remaining time is 64 - 16 = 48
Total time = 80+48 = 128
Please comment if you there is anything wrong or if you faced any problem with my solution
06 Oct 2022, 02:02
Kudos
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Bunuel
Solution:
- Average dryer takes \(80\) mins
- Whereas, Super Jumbo dryer takes \(\frac{4}{5}\times 80=64\) mins
- The fact that both these dryers can work simultaneously, the scenario will look something like this:
Attachment:
load.png [ 7.9 KiB | Viewed 4041 times ]
- So, the total time to dry the 3 loads is 128 mins
Hence the right answer is Option A
