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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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30 Oct 2018, 09:19
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15% (low)

Question Stats:

86% (01:40) correct 14% (02:26) wrong based on 58 sessions

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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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Manish

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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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30 Oct 2018, 09:42
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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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31 Oct 2018, 18:27
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.

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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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04 Nov 2018, 21:01
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

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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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04 Nov 2018, 21:28
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, B
Re: If a certain reel of film runs at 5/6 of a frame per second, how long.   [#permalink] 04 Nov 2018, 21:28
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