Bill is training for a bike race

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Bill is training for a bike race

by leonswati » Wed Sep 14, 2011 10:48 am
Bill is training for a bike race and needs to complete a rigorous weekly training program whereby every Monday he bikes 3 miles, and every Tuesday he bikes 4 miles. After that, Bill bikes the sum of the distances biked the previous two days but will bike only 1 mile if he biked more than 10 miles the day prior. Bill takes Sundays off from biking and then repeats this cycle on Mondays. If Bill starts training on the first Monday of a month that begins on a Thursday, how many total miles will Bill have scheduled to bike before the 21st day of that month?
4
38
79
83
114

Plz solve this
Source: — Data Sufficiency |

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by sl750 » Wed Sep 14, 2011 11:41 am
As per the question
On Monday = 3km
Tuesday = 4
Wednesday = 3+4 = 7
Thursday = 7+4 = 11
Friday = 1, as the previous day he walks more than 10 km
Saturday = 12
Sunday = H
Total for the week = 38. We have 3 weeks in all. Therefore total miles = 114

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by harshadsb » Wed Sep 14, 2011 4:40 pm
Since Bill starts training on the first Monday of a month that begins on a Thursday (1st), bill will actually start cycling on 5th of the month (1st Monday).

Total miles for the week=3+4+7+11+1+12=38

So the cycles would be (5th-11th)=38 miles, (12th-18th)=38 miles, (19th-20th)=7 which sums up to 83.

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by 1947 » Wed Sep 14, 2011 7:30 pm
what does this mean ??? first Monday of a month that begins on a Thursday
ignoring this answer will be 114

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by gmatboost » Thu Sep 15, 2011 7:32 am
Well, think about the month we are currently in, September.

It began on a Thursday, September 1. The first Monday was September 5.

So he biked 5th-10th, 11th off, 12th-17th, 18th off, 19th and 20th
38 + 38 + 7
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