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# Bob the bodybuilder is training for a competition to be held on 10th o

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Math Expert
Joined: 02 Sep 2009
Posts: 52343
Bob the bodybuilder is training for a competition to be held on 10th o  [#permalink]

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03 Jan 2019, 11:47
00:00

Difficulty:

45% (medium)

Question Stats:

59% (00:48) correct 41% (01:19) wrong based on 56 sessions

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Bob the bodybuilder is training for a competition to be held on 10th of April. On the 1st April he trains for 2 hours and on 2nd April he trains for 4 hours and on 3rd April he trains for 6 hours. He keeps on increasing his training time till he reaches 14 hours per day and then keeps it constant at 14 hours a day. How many hours did he train between 1st April, inclusive and 10th April, exclusive?

A. 80
B. 82
C. 84
D. 86
E. 88

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Re: Bob the bodybuilder is training for a competition to be held on 10th o  [#permalink]

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03 Jan 2019, 19:01
Bunuel wrote:
Bob the bodybuilder is training for a competition to be held on 10th of April. On the 1st April he trains for 2 hours and on 2nd April he trains for 4 hours and on 3rd April he trains for 6 hours. He keeps on increasing his training time till he reaches 14 hours per day and then keeps it constant at 14 hours a day. How many hours did he train between 1st April, inclusive and 10th April, exclusive?

A. 80
B. 82
C. 84
D. 86
E. 88

Bob trains for even number of hours for 7 days and then he continues at 14 hours a day.

Sum of first n even numbers is expressed as $$n*(n+1)$$. Sum of hours from day 1 to day 7=$$7*(7+1)=56$$ hours.

Sum of hours from 8 to 10 =$$14*3=28$$ hours.

Total hours from day 1 to day 10=$$56+42=98$$ hours.

Excluding 1st and 10th day, total sum of hours =$$98-(2+14)=82$$ hours.

IMO, Option B.
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Joined: 23 Mar 2017
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Bob the bodybuilder is training for a competition to be held on 10th o  [#permalink]

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03 Jan 2019, 19:55
Ypsychotic wrote:
Bunuel wrote:
Bob the bodybuilder is training for a competition to be held on 10th of April. On the 1st April he trains for 2 hours and on 2nd April he trains for 4 hours and on 3rd April he trains for 6 hours. He keeps on increasing his training time till he reaches 14 hours per day and then keeps it constant at 14 hours a day. How many hours did he train between 1st April, inclusive and 10th April, exclusive?

A. 80
B. 82
C. 84
D. 86
E. 88

Bob trains for even number of hours for 7 days and then he continues at 14 hours a day.

Sum of first n even numbers is expressed as $$n*(n+1)$$. Sum of hours from day 1 to day 7=$$7*(7+1)=56$$ hours.

Sum of hours from 8 to 10 =$$14*3=28$$ hours.

Total hours from day 1 to day 10=$$56+42=98$$ hours.

Excluding 1st and 10th day, total sum of hours =$$98-(2+14)=82$$ hours.

IMO, Option B.

If you read the question carefully, it says that the training on 1st April is inclusive. Hence, we will have to include the 2 hours from there as well. And the total would come up to 84 hours. Therefore, the answer should be C.
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Re: Bob the bodybuilder is training for a competition to be held on 10th o  [#permalink]

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03 Jan 2019, 20:04
aman23 wrote:
Ypsychotic wrote:
Bunuel wrote:
Bob the bodybuilder is training for a competition to be held on 10th of April. On the 1st April he trains for 2 hours and on 2nd April he trains for 4 hours and on 3rd April he trains for 6 hours. He keeps on increasing his training time till he reaches 14 hours per day and then keeps it constant at 14 hours a day. How many hours did he train between 1st April, inclusive and 10th April, exclusive?

A. 80
B. 82
C. 84
D. 86
E. 88

Bob trains for even number of hours for 7 days and then he continues at 14 hours a day.

Sum of first n even numbers is expressed as $$n*(n+1)$$. Sum of hours from day 1 to day 7=$$7*(7+1)=56$$ hours.

Sum of hours from 8 to 10 =$$14*3=28$$ hours.

Total hours from day 1 to day 10=$$56+42=98$$ hours.

Excluding 1st and 10th day, total sum of hours =$$98-(2+14)=82$$ hours.

IMO, Option B.

If you read the question carefully, it says that the training on 1st April is inclusive. Hence, we will have to include the 2 hours from there as well. And the total would come up to 84 hours. Therefore, the answer should be C.

Yeah, you're right. I missed the term inclusive and thought both to be exclusive. Thanks for pointing it out.
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Re: Bob the bodybuilder is training for a competition to be held on 10th o  [#permalink]

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04 Jan 2019, 00:24
Bunuel wrote:
Bob the bodybuilder is training for a competition to be held on 10th of April. On the 1st April he trains for 2 hours and on 2nd April he trains for 4 hours and on 3rd April he trains for 6 hours. He keeps on increasing his training time till he reaches 14 hours per day and then keeps it constant at 14 hours a day. How many hours did he train between 1st April, inclusive and 10th April, exclusive?

A. 80
B. 82
C. 84
D. 86
E. 88

Hi Bunuel,

In the Question, Its nowhere mentioned that the Increment time is always a multiple of 2. Hence, the answer may vary depending on the Odd/even numbers we choose.

Please let me know if I am missing anything here??
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Re: Bob the bodybuilder is training for a competition to be held on 10th o  [#permalink]

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06 Jan 2019, 05:09
Bunuel wrote:
Bob the bodybuilder is training for a competition to be held on 10th of April. On the 1st April he trains for 2 hours and on 2nd April he trains for 4 hours and on 3rd April he trains for 6 hours. He keeps on increasing his training time till he reaches 14 hours per day and then keeps it constant at 14 hours a day. How many hours did he train between 1st April, inclusive and 10th April, exclusive?

A. 80
B. 82
C. 84
D. 86
E. 88

1st to 6th = 2+4+6+8+10+12 = 42
7th to 9th = 14*3 = 42
so total
42+42 = 84 IMO C
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Posts: 15
Re: Bob the bodybuilder is training for a competition to be held on 10th o  [#permalink]

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09 Jan 2019, 01:45
rahul16singh28 wrote:
Bunuel wrote:
Bob the bodybuilder is training for a competition to be held on 10th of April. On the 1st April he trains for 2 hours and on 2nd April he trains for 4 hours and on 3rd April he trains for 6 hours. He keeps on increasing his training time till he reaches 14 hours per day and then keeps it constant at 14 hours a day. How many hours did he train between 1st April, inclusive and 10th April, exclusive?

A. 80
B. 82
C. 84
D. 86
E. 88

Hi Bunuel,

In the Question, Its nowhere mentioned that the Increment time is always a multiple of 2. Hence, the answer may vary depending on the Odd/even numbers we choose.

Please let me know if I am missing anything here??

I thought the same. This way we can only find a range of values.
Re: Bob the bodybuilder is training for a competition to be held on 10th o &nbs [#permalink] 09 Jan 2019, 01:45
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