Internet speed

Number Theory Level 2

Rafiq's broadband connection downloads at a constant integer Mbps speed. After an integer number of seconds, he sees that his download percentage is exactly 59%.

What is the sum of all possible download speeds in Mbps?


The answer is 60.

Md Ashiqur Rahman by Md Ashiqur rahman , 25, Bangladesh

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Md Ashiqur Rahman
Jul 22, 2017

59 a prime number . so the number must be 1 or 59 it self.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

This is only true if the 59% is exactly 59% (instead any other number which rounds to 59%) and this value is valid exactly k (integer) seconds after the download started.

Zee Ell - 3 years, 10 months ago

Log in to reply

There is no indication that the percentage is shown after rounding it to the closest integer. It said the internet speed is Integer not the percentage. If the parentage is a fraction, fraction will be displayed.

Md Ashiqur rahman - 3 years, 10 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...