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A certain cathedral bell marks every hour by ringing a number of times

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Bunuel
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A certain cathedral bell marks every hour by ringing a number of times [#permalink] New post   13 Jan 2021, 07:35
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74% (01:35) correct 26% (01:21) wrong based on 77 sessions
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A certain cathedral bell marks every hour by ringing a number of times equal to the current hour (for example, at 2:00PM, the bell rings twice). Each toll of the bell lasts for three seconds, with two seconds of silence between tolls. At 9:00AM, how many seconds elapse between the beginning of the first toll and the end of the last toll?

(A) 52
(B) 48
(C) 45
(D) 43
(E) 40
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D
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A certain cathedral bell marks every hour by ringing a number of times [#permalink] New post   13 Jan 2021, 22:56
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Pattern \(TST=3+2+3= 8\) where T-Toll S-Silence

The total activity at 9 AM;
\(9 T+8S=9*3+8*2=27+16=43\)

Since the number of 'S' is one less than the number of 'T' in the above pattern.

ANS D
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Re: A certain cathedral bell marks every hour by ringing a number of times [#permalink] New post   14 Jan 2021, 00:10
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Bunuel wrote:
A certain cathedral bell marks every hour by ringing a number of times equal to the current hour (for example, at 2:00PM, the bell rings twice). Each toll of the bell lasts for three seconds, with two seconds of silence between tolls. At 9:00AM, how many seconds elapse between the beginning of the first toll and the end of the last toll?

(A) 52
(B) 48
(C) 45
(D) 43
(E) 40


From the beginning of a toll to the beginning of the next toll, it takes 3 + 2 = 5 secs.

At 9:00, the bell will toll 9 times so it will take 9 * 5 = 45 secs
But note that after the 9th toll of 3 secs, there is no 2 sec interval because the bell does not toll after that. Hence beginning of first toll to end of last toll will last for only 45 - 2 = 43 secs

Answer (D)
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Re: A certain cathedral bell marks every hour by ringing a number of times [#permalink] New post   22 Aug 2022, 04:03
1st bell = 00
2nd bell = 05
similarly 9th bell will ring at 40 seconds
it will toll for 3 seconds, the 9th bell will end at 43 seconds

therefore option D
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Re: A certain cathedral bell marks every hour by ringing a number of times [#permalink]
22 Aug 2022, 04:03
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