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How many pushups in 6 months?

(4 votes, average: 3.25 out of 5)

January 10, 2017 by puzzler 1 Comment

If we do 1 push up repetition per day, 3 sets, then increase it by one rep per week for same three sets, how many push ups will we be doing in 6months?

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Answer With Solution
Answer: 7215
Solution:
Let’s assume 30 days in a month, so 6*30 = 180 days in 6 months, i.e. 180/7 = 25weeks + 5 days.

number of push ups in first week 3*7 = 21

so total number of push ups in 25 weeks = 21 + 21*2 + 21*3 …. 21*25

its an arithmetic progression with a1 = 21 and d = 21

its Sum = n(a1+an)/2 =  25(21 + 21*25)/2 = 21*25*26/2 = 6825

Push ups done in 5 days = 21*26*5/7 = 26*15 = 390

Total push ups in 6 months = 6825 + 390 = 7215.

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Comments

  1. Thierry says

    January 12, 2017 at 6:50 am

    You could look at it this way. There are 52 weeks in a year, so its 26 weeks in 6 months exactly. Not 25 weeks and five days…
    So its the sum of 1…26 = 351
    351*3*7 = 7371

    Reply

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