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If a certain reel of film runs at 5/6 of a frame per second, how long.

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If a certain reel of film runs at 5/6 of a frame per second, how long.  [#permalink]

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New post 30 Oct 2018, 08:19
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If a certain reel of film runs at 5/6 of a frame per second, how long will it take to run 2580 frames of the film?

(A) 8.6 minutes
(B) 51.6 minutes
(C) 5.16 hours
(D) 5.8 hours
(E) 5.96 hours

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If a certain reel of film runs at 5/6 of a frame per second, how long.  [#permalink]

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New post 30 Oct 2018, 08:42
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OA:B
Total number of Frames\(= 2580 \quad Frames\)

Rate \(= \frac{5 \quad Frames}{6 \quad Second}\)

Time to run (in second) \(= \frac{2580 \quad Frames}{ \frac{5 \quad Frames}{6 \quad Second}}=\frac{2580*6}{5}\) seconds

Time to run (in minutes)\(=\frac{2580*6}{5*60}\) minutes \(= 51.6\) minutes
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Re: If a certain reel of film runs at 5/6 of a frame per second, how long.  [#permalink]

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New post 31 Oct 2018, 17:27
CAMANISHPARMAR wrote:
If a certain reel of film runs at 5/6 of a frame per second, how long will it take to run 2580 frames of the film?

(A) 8.6 minutes
(B) 51.6 minutes
(C) 5.16 hours
(D) 5.8 hours
(E) 5.96 hours


It will take 2580/(5/6) = 15,480/5 = 3096 seconds or 3096/60 = 51.6 minutes.

Alternate Solution:

We can set up a proportion: “5/6 of a frame is to 1 second as 2580 frames is to x seconds:”

(5/6)/1 = 2580/x

5/6 = 2580/x

5x = 6 x 2580

x = 6 x 516 seconds

In minutes, we divide by 60 (or 6 x 10), obtaining:

6 x 516 / 6 x 10 = 51.6 minutes.

Answer: B
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Re: If a certain reel of film runs at 5/6 of a frame per second, how long.  [#permalink]

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New post 04 Nov 2018, 20:01
CAMANISHPARMAR wrote:
If a certain reel of film runs at 5/6 of a frame per second, how long will it take to run 2580 frames of the film?

(A) 8.6 minutes
(B) 51.6 minutes
(C) 5.16 hours
(D) 5.8 hours
(E) 5.96 hours


Application of Concept Distance=Speed * Time

Time=Distance/ Speed

=2580/(5/6)
=(2580*6)/5
=516*6/60 minutes
=51.36 mins

Option B is the answer
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Re: If a certain reel of film runs at 5/6 of a frame per second, how long.  [#permalink]

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New post 04 Nov 2018, 20:28
CAMANISHPARMAR wrote:
If a certain reel of film runs at 5/6 of a frame per second, how long will it take to run 2580 frames of the film?

(A) 8.6 minutes
(B) 51.6 minutes
(C) 5.16 hours
(D) 5.8 hours
(E) 5.96 hours


We can use unitary method for this and get to the conclusion ->

\(\frac{5}{6}\) Frames ---------- 1 second

Hence,

1 Frame --------------- \(\frac{6}{5}\) seconds

Now we have 2580 frames, therefore,

2580 Frames ------------- \(\frac{6}{5} * 2580\) seconds

Solving further,

2580 Frames ------------- \(6 * 516\) seconds

Converting second to minutes

\(6 * 516\) seconds = \(\frac{6}{60} * 516\) minutes

Hence answer becomes, 51.6 Minutes

Hence, B
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Re: If a certain reel of film runs at 5/6 of a frame per second, how long. &nbs [#permalink] 04 Nov 2018, 20:28
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