Answer:
(a) [tex]Time= 119.05 \ min[/tex]
(b) [tex]Time= 9.26\ hr[/tex]
Explanation:
Given
[tex]File = 30GB[/tex]
Required
Download time
Solving (a): When Speed =4.2Mb/s
Speed is calculated as:
[tex]Speed = \frac{File\ Size}{Time}[/tex]
Make Time the subject:
[tex]Time= \frac{File\ Size}{Speed }[/tex]
Substitute values for File Size and Speed
[tex]Time= \frac{30Gb}{4.2Mb/s}[/tex]
Convert Gb to Mb
[tex]Time= \frac{30*1000Mb}{4.2Mb/s}[/tex]
[tex]Time= \frac{30000s}{4.2}[/tex]
Convert to minutes
[tex]Time= \frac{30000}{4.2*60}\ min[/tex]
[tex]Time= \frac{30000}{252}\ min[/tex]
[tex]Time= 119.05 \ min[/tex]
When converted, it is approximately 2 hours
Solving (a): When Speed =900Kb/s
[tex]Time= \frac{File\ Size}{Speed }[/tex]
Substitute values for File Size and Speed
[tex]Time= \frac{30Gb}{900Kb/s}[/tex]
Convert Gb to Kb
[tex]Time= \frac{30*1000000Kb}{900Kb/s}[/tex]
[tex]Time= \frac{30*1000000s}{900}[/tex]
[tex]Time= \frac{1000000s}{30}[/tex]
[tex]Time= \frac{100000}{3}s[/tex]
Convert to hours
[tex]Time= \frac{100000}{3*3600}hr[/tex]
[tex]Time= \frac{1000}{3*36}hr[/tex]
[tex]Time= \frac{1000}{108}hr[/tex]
[tex]Time= 9.26\ hr[/tex]
