average working hour per day

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mariah: Master | Next Rank: 500 Posts; Posts: 131; Joined: Tue Aug 05, 2008 3:28 pm; Thanked: 2 times

by mariah » Tue Dec 28, 2010 8:11 am

for 20 weeks, Mary works x minutes on Monday Wed. Fri. And y minutes on other weekdays.
asked average working Hour per day ?

oa given
[spoiler]3x+4y/420[/spoiler]

pls explain , i m getting wrong answer

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Source: Beat The GMAT — Problem Solving | Tue Dec 28, 2010 8:11 am

shovan85: Community Manager; Posts: 991; Joined: Thu Sep 23, 2010 6:19 amFollowed by: 24 members; Location: Bangalore, India; Thanked: 146 times

by shovan85 » Tue Dec 28, 2010 8:27 am

mariah wrote:for 20 weeks, Mary works x minutes on Monday Wed. Fri. And y minutes on other weekdays.
asked average working Hour per day ?

oa given
[spoiler]3x+4y/420[/spoiler]

pls explain , i m getting wrong answer

Monday, Wednesday, and Friday x minutes/day = x/60 hrs/day
So in this total 3 days the total hours will be accumulated to = 3x/60 = x/20 hrs

Saturday, Sunday, Tuesday, Thursday y minutes/day = y/60 hrs/day
So in this total 4 days the total hours will be accumulated to = 4y/60 = 2y/30 hrs

Thus in a week total Mary works = x/20 + 2y/30 hrs

So total work in 20 weeks = 20*( x/20 + 2y/30 ) hrs = x + 4y/3 hrs

Average per day = (x + 4y/3)/(20*7) = (x + 4y/3)/140 = (3x+4y)/420

If the problem is Easy Respect it, if the problem is tough Attack it

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Tue Dec 28, 2010 8:54 am

mariah wrote:for 20 weeks, Mary works x minutes on Monday Wed. Fri. And y minutes on other weekdays. asked average working Hour per day ?

Note that the average over 20 weeks will be same as that of one week as she does same amount of work in each week.

In one week, i.e. 7 days she works for a total of (3x + 4y) minutes.
=> In 1 day she works for (3x + 4y)/7 minutes

Now (3x + 4y)/7 minutes = [(3x + 4y)/7]/60 hours = (3x + 4y)/420 hours

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okletsdothis: Junior | Next Rank: 30 Posts; Posts: 27; Joined: Fri Aug 13, 2010 8:13 am; GMAT Score:650

by okletsdothis » Wed Dec 29, 2010 2:42 am

i think the term 'weekdays' is rather ambiguous. other week days could also mean tuesday and thursday only. since there might be no work on weekends which is normal incase of working professionals.

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Tani: Legendary Member; Posts: 1255; Joined: Fri Nov 07, 2008 2:08 pmFollowed by: 90 members; Location: St. Louis; Thanked: 312 times

by Tani » Wed Dec 29, 2010 9:09 am

Agree - I would automatically assume weekdays excluded Saturday and Sunday.

Tani Wolff

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mariah: Master | Next Rank: 500 Posts; Posts: 131; Joined: Tue Aug 05, 2008 3:28 pm; Thanked: 2 times

by mariah » Wed Dec 29, 2010 4:23 pm

week days - mon. through Sunday
workweek days, working days , etc - mond . trough friday

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Tani: Legendary Member; Posts: 1255; Joined: Fri Nov 07, 2008 2:08 pmFollowed by: 90 members; Location: St. Louis; Thanked: 312 times

by Tani » Wed Dec 29, 2010 7:39 pm

not where I come from. Sometimes you see "business days" which means Monday to Friday but also excludes any holidays.

Tani Wolff

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