Solving Buffering Nightmare Mathematically

A typical YouTube SD video with 480p quality has a bit rate of 1200 kbps (kilo bits per second). Mr X's internet connection has speed of 512 kbps.

If Mr. X decides to watch a 60 minute video on YouTube, find minimum time in seconds he should allow buffering so that he can watch the video uninterrupted.

#Algebra #Mathematics

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Its 34 minutes and 24 seconds.

Vishal Sharma - 7 years, 1 month ago

Pham Duy now has the correct answer.

Vikram Pandya - 7 years, 1 month ago

Corrected Solver file https://drive.google.com/file/d/0B69AAlUY9P1xTFZQdDlHYlNrWmM/edit?usp=sharing without using formula

Vikram Pandya - 7 years, 1 month ago

my result is 1 hour and 21 minutes

Phạm Duy - 7 years, 1 month ago

Sorry there was a minor calculation mistake in my answer. Your answer is correct :)

Vikram Pandya - 7 years, 1 month ago

Following is one elegant way to put formula for the same when bitrate > download speed:

[ Video Bit rate * Video Length in Seconds / Download Speed ] x [1 - (Download Speed/Video Bit rate)]

i.e. Initial Buffering required in Seconds = VB * VL / DS * (1 - DS/VB)

i.e. Initial Buffering required = Time required to download entire video - Video Duration

Vikram Pandya - 7 years, 1 month ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$