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Fruit Packers

Expert replies
by Aman verma » Fri Sep 17, 2010 10:25 am
Q: Green Dart is a renowned packager of fruits in L.A . It has 2 employees : a man and his wife .The man packs 70 mangoes or 56 guavas every day working 7 hours a day.His wife packs 30 mangoes or 24 guavas working 6 hours a day.The man has to pack 3300 mangoes and 2400 guavas with the help of his wife.They work alternatively , each day 10 hours.His wife started packaging on the first day and works on every alternate days.Similarly the man started his work on the second day and worked alternatively till the completion of the work. In how many days the work will be finished ?

a)84

b)85

c)86

d)87

e)88


OA[spoiler]a)[/spoiler]
800. Arjun's-Bird-Eye
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Source: — Problem Solving |

by Gmat Bond » Fri Sep 17, 2010 11:22 am
Are you sure it's a) ? I think it's c) .
The name is Bond, GMAT BOND !!
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by brijesh » Fri Sep 17, 2010 11:27 am
Aman verma wrote:Q: Green Dart is a renowned packager of fruits in L.A . It has 2 employees : a man and his wife .The man packs 70 mangoes or 56 guavas every day working 7 hours a day.His wife packs 30 mangoes or 24 guavas working 6 hours a day.The man has to pack 3300 mangoes and 2400 guavas with the help of his wife.They work alternatively , each day 10 hours.His wife started packaging on the first day and works on every alternate days.Similarly the man started his work on the second day and worked alternatively till the completion of the work. In how many days the work will be finished ?

a)84===Answer
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by Gmat Bond » Sat Sep 18, 2010 9:05 am
brijesh wrote:
Aman verma wrote:Q: Green Dart is a renowned packager of fruits in L.A . It has 2 employees : a man and his wife .The man packs 70 mangoes or 56 guavas every day working 7 hours a day.His wife packs 30 mangoes or 24 guavas working 6 hours a day.The man has to pack 3300 mangoes and 2400 guavas with the help of his wife.They work alternatively , each day 10 hours.His wife started packaging on the first day and works on every alternate days.Similarly the man started his work on the second day and worked alternatively till the completion of the work. In how many days the work will be finished ?

a)84===Answer
How ?
The name is Bond, GMAT BOND !!
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by diebeatsthegmat » Sat Sep 18, 2010 9:19 am
Gmat Bond wrote:
brijesh wrote:
Aman verma wrote:Q: Green Dart is a renowned packager of fruits in L.A . It has 2 employees : a man and his wife .The man packs 70 mangoes or 56 guavas every day working 7 hours a day.His wife packs 30 mangoes or 24 guavas working 6 hours a day.The man has to pack 3300 mangoes and 2400 guavas with the help of his wife.They work alternatively , each day 10 hours.His wife started packaging on the first day and works on every alternate days.Similarly the man started his work on the second day and worked alternatively till the completion of the work. In how many days the work will be finished ?

a)84===Answer
How ?
yeah the answer is A
Because they work alternative day, if the wife works the first day, the wife works the second day and then the husband the third day and wife fourth and so on
the first day his wife pack either mangoes or guavas but not both and so does the husband
so we calculate the number of days they packs mangoes first
the first day wife does 30 mangoes in 6 hours thus in 10 hours she packs 50 mangoes
the second day husband packs 70 in 7 hours thus in 10 hour he packs 100 mangoes
totally, in 2 days they packs 150 mangoes, so 3300 mangoes they pack in 44 days
we do the same with guavas and we get 40 days
so the final number is 40+44=84
hope it helps
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