Download Time worksheet

1. Line speed needed: 75.76 Mbps

1. Convert the size to bits: 1 GB = 8,000,000,000 bits (8 bits per byte)

   $5\text{\hspace{0.17em}GB}\times \mathrm{8,000,000,000}$$=\mathrm{40,000,000,000}\text{\hspace{0.17em}bit}$

2. Convert the time to seconds

   $10\text{\hspace{0.17em}min}\times 60$$=600\text{\hspace{0.17em}s}$

3. Divide the bits by the seconds to get the real speed you need

   $\frac{\mathrm{40,000,000,000}\text{\hspace{0.17em}bit}}{600\text{\hspace{0.17em}s}}$$=\mathrm{66,666,666.666667}\text{\hspace{0.17em}bit/s}$

4. Scale up so that 88% of the line speed still delivers that

   $\frac{\mathrm{66,666,666.666667}}{\left(1-0.12\right)}$$=\mathrm{75,757,575.757576}\text{\hspace{0.17em}bit/s}$

5. Express in megabits per second (1 Mbps = 1,000,000 bit/s)

   $\frac{\mathrm{75,757,575.757576}}{\mathrm{1,000,000}}$$=75.757576\text{\hspace{0.17em}Mbps}$

2. Line speed needed: 58.61 Mbps

1. Convert the size to bits: 1 GB = 8,000,000,000 bits (8 bits per byte)

   $4\text{\hspace{0.17em}GB}\times \mathrm{8,000,000,000}$$=\mathrm{32,000,000,000}\text{\hspace{0.17em}bit}$

2. Convert the time to seconds

   $10\text{\hspace{0.17em}min}\times 60$$=600\text{\hspace{0.17em}s}$

3. Divide the bits by the seconds to get the real speed you need

   $\frac{\mathrm{32,000,000,000}\text{\hspace{0.17em}bit}}{600\text{\hspace{0.17em}s}}$$=\mathrm{53,333,333.333333}\text{\hspace{0.17em}bit/s}$

4. Scale up so that 91% of the line speed still delivers that

   $\frac{\mathrm{53,333,333.333333}}{\left(1-0.09\right)}$$=\mathrm{58,608,058.608059}\text{\hspace{0.17em}bit/s}$

5. Express in megabits per second (1 Mbps = 1,000,000 bit/s)

   $\frac{\mathrm{58,608,058.608059}}{\mathrm{1,000,000}}$$=58.608059\text{\hspace{0.17em}Mbps}$

3. Transfer time: 7 min 35 s

1. Convert the size to bits: 1 GB = 8,000,000,000 bits (8 bits per byte)

   $5\text{\hspace{0.17em}GB}\times \mathrm{8,000,000,000}$$=\mathrm{40,000,000,000}\text{\hspace{0.17em}bit}$

2. Convert the speed to bits per second (1 Mbps = 1,000,000 bit/s)

   $100\text{\hspace{0.17em}Mbps}\times \mathrm{1,000,000}$$=\mathrm{100,000,000}\text{\hspace{0.17em}bit/s}$

3. Remove the 12% overhead: only 88% of the line speed carries your data

   $\mathrm{100,000,000}\text{\hspace{0.17em}bit/s}\times \left(1-0.12\right)$$=\mathrm{88,000,000}\text{\hspace{0.17em}bit/s}$

4. Divide the bits by the real speed to get the time in seconds

   $t$$=\frac{\mathrm{40,000,000,000}\text{\hspace{0.17em}bit}}{\mathrm{88,000,000}\text{\hspace{0.17em}bit/s}}$$=454.545455\text{\hspace{0.17em}s}$

5. Write the seconds as days, hours, minutes and seconds

   $454.55\text{\hspace{0.17em}s}$$=\text{7 min 35 s}$

4. Transfer time: 7 min 18 s

1. Convert the size to bits: 1 GB = 8,000,000,000 bits (8 bits per byte)

   $4\text{\hspace{0.17em}GB}\times \mathrm{8,000,000,000}$$=\mathrm{32,000,000,000}\text{\hspace{0.17em}bit}$

2. Convert the speed to bits per second (1 Mbps = 1,000,000 bit/s)

   $82\text{\hspace{0.17em}Mbps}\times \mathrm{1,000,000}$$=\mathrm{82,000,000}\text{\hspace{0.17em}bit/s}$

3. Remove the 11% overhead: only 89% of the line speed carries your data

   $\mathrm{82,000,000}\text{\hspace{0.17em}bit/s}\times \left(1-0.11\right)$$=\mathrm{72,980,000}\text{\hspace{0.17em}bit/s}$

4. Divide the bits by the real speed to get the time in seconds

   $t$$=\frac{\mathrm{32,000,000,000}\text{\hspace{0.17em}bit}}{\mathrm{72,980,000}\text{\hspace{0.17em}bit/s}}$$=438.476295\text{\hspace{0.17em}s}$

5. Write the seconds as days, hours, minutes and seconds

   $438.48\text{\hspace{0.17em}s}$$=\text{7 min 18 s}$

5. Data transferred: 9.56 GB

1. Convert the speed to bits per second (1 Mbps = 1,000,000 bit/s)

   $100\text{\hspace{0.17em}Mbps}\times \mathrm{1,000,000}$$=\mathrm{100,000,000}\text{\hspace{0.17em}bit/s}$

2. Remove the 9% overhead: only 91% of the line speed carries your data

   $\mathrm{100,000,000}\text{\hspace{0.17em}bit/s}\times \left(1-0.09\right)$$=\mathrm{91,000,000}\text{\hspace{0.17em}bit/s}$

3. Convert the time to seconds

   $14\text{\hspace{0.17em}min}\times 60$$=840\text{\hspace{0.17em}s}$

4. Multiply the real speed by the time to get the bits moved

   $\mathrm{91,000,000}\text{\hspace{0.17em}bit/s}\times 840\text{\hspace{0.17em}s}$$=\mathrm{76,440,000,000}\text{\hspace{0.17em}bit}$

5. Divide by 8 bits per byte, then by 1,000,000,000 bytes per gigabyte

   $\frac{\mathrm{76,440,000,000}}{8\times \mathrm{1,000,000,000}}$$=9.555\text{\hspace{0.17em}GB}$

6. Transfer time: 9 min 26 s

1. Convert the size to bits: 1 GB = 8,000,000,000 bits (8 bits per byte)

   $7\text{\hspace{0.17em}GB}\times \mathrm{8,000,000,000}$$=\mathrm{56,000,000,000}\text{\hspace{0.17em}bit}$

2. Convert the speed to bits per second (1 Mbps = 1,000,000 bit/s)

   $110\text{\hspace{0.17em}Mbps}\times \mathrm{1,000,000}$$=\mathrm{110,000,000}\text{\hspace{0.17em}bit/s}$

3. Remove the 10% overhead: only 90% of the line speed carries your data

   $\mathrm{110,000,000}\text{\hspace{0.17em}bit/s}\times \left(1-0.1\right)$$=\mathrm{99,000,000}\text{\hspace{0.17em}bit/s}$

4. Divide the bits by the real speed to get the time in seconds

   $t$$=\frac{\mathrm{56,000,000,000}\text{\hspace{0.17em}bit}}{\mathrm{99,000,000}\text{\hspace{0.17em}bit/s}}$$=565.656566\text{\hspace{0.17em}s}$

5. Write the seconds as days, hours, minutes and seconds

   $565.66\text{\hspace{0.17em}s}$$=\text{9 min 26 s}$

7. Line speed needed: 67.34 Mbps

1. Convert the size to bits: 1 GB = 8,000,000,000 bits (8 bits per byte)

   $5\text{\hspace{0.17em}GB}\times \mathrm{8,000,000,000}$$=\mathrm{40,000,000,000}\text{\hspace{0.17em}bit}$

2. Convert the time to seconds

   $11\text{\hspace{0.17em}min}\times 60$$=660\text{\hspace{0.17em}s}$

3. Divide the bits by the seconds to get the real speed you need

   $\frac{\mathrm{40,000,000,000}\text{\hspace{0.17em}bit}}{660\text{\hspace{0.17em}s}}$$=\mathrm{60,606,060.606061}\text{\hspace{0.17em}bit/s}$

4. Scale up so that 90% of the line speed still delivers that

   $\frac{\mathrm{60,606,060.606061}}{\left(1-0.1\right)}$$=\mathrm{67,340,067.340067}\text{\hspace{0.17em}bit/s}$

5. Express in megabits per second (1 Mbps = 1,000,000 bit/s)

   $\frac{\mathrm{67,340,067.340067}}{\mathrm{1,000,000}}$$=67.340067\text{\hspace{0.17em}Mbps}$

8. Transfer time: 11 min 16 s

1. Convert the size to bits: 1 GB = 8,000,000,000 bits (8 bits per byte)

   $5\text{\hspace{0.17em}GB}\times \mathrm{8,000,000,000}$$=\mathrm{40,000,000,000}\text{\hspace{0.17em}bit}$

2. Convert the speed to bits per second (1 Mbps = 1,000,000 bit/s)

   $65\text{\hspace{0.17em}Mbps}\times \mathrm{1,000,000}$$=\mathrm{65,000,000}\text{\hspace{0.17em}bit/s}$

3. Remove the 9% overhead: only 91% of the line speed carries your data

   $\mathrm{65,000,000}\text{\hspace{0.17em}bit/s}\times \left(1-0.09\right)$$=\mathrm{59,150,000}\text{\hspace{0.17em}bit/s}$

4. Divide the bits by the real speed to get the time in seconds

   $t$$=\frac{\mathrm{40,000,000,000}\text{\hspace{0.17em}bit}}{\mathrm{59,150,000}\text{\hspace{0.17em}bit/s}}$$=676.24683\text{\hspace{0.17em}s}$

5. Write the seconds as days, hours, minutes and seconds

   $676.25\text{\hspace{0.17em}s}$$=\text{11 min 16 s}$

9. Transfer time: 10 min 34 s

1. Convert the size to bits: 1 GB = 8,000,000,000 bits (8 bits per byte)

   $6\text{\hspace{0.17em}GB}\times \mathrm{8,000,000,000}$$=\mathrm{48,000,000,000}\text{\hspace{0.17em}bit}$

2. Convert the speed to bits per second (1 Mbps = 1,000,000 bit/s)

   $86\text{\hspace{0.17em}Mbps}\times \mathrm{1,000,000}$$=\mathrm{86,000,000}\text{\hspace{0.17em}bit/s}$

3. Remove the 12% overhead: only 88% of the line speed carries your data

   $\mathrm{86,000,000}\text{\hspace{0.17em}bit/s}\times \left(1-0.12\right)$$=\mathrm{75,680,000}\text{\hspace{0.17em}bit/s}$

4. Divide the bits by the real speed to get the time in seconds

   $t$$=\frac{\mathrm{48,000,000,000}\text{\hspace{0.17em}bit}}{\mathrm{75,680,000}\text{\hspace{0.17em}bit/s}}$$=634.249471\text{\hspace{0.17em}s}$

5. Write the seconds as days, hours, minutes and seconds

   $634.25\text{\hspace{0.17em}s}$$=\text{10 min 34 s}$

10. Transfer time: 13 min 37 s

1. Convert the size to bits: 1 GB = 8,000,000,000 bits (8 bits per byte)

   $6\text{\hspace{0.17em}GB}\times \mathrm{8,000,000,000}$$=\mathrm{48,000,000,000}\text{\hspace{0.17em}bit}$

2. Convert the speed to bits per second (1 Mbps = 1,000,000 bit/s)

   $66\text{\hspace{0.17em}Mbps}\times \mathrm{1,000,000}$$=\mathrm{66,000,000}\text{\hspace{0.17em}bit/s}$

3. Remove the 11% overhead: only 89% of the line speed carries your data

   $\mathrm{66,000,000}\text{\hspace{0.17em}bit/s}\times \left(1-0.11\right)$$=\mathrm{58,740,000}\text{\hspace{0.17em}bit/s}$

4. Divide the bits by the real speed to get the time in seconds

   $t$$=\frac{\mathrm{48,000,000,000}\text{\hspace{0.17em}bit}}{\mathrm{58,740,000}\text{\hspace{0.17em}bit/s}}$$=817.160368\text{\hspace{0.17em}s}$

5. Write the seconds as days, hours, minutes and seconds

   $817.16\text{\hspace{0.17em}s}$$=\text{13 min 37 s}$