Question

If I were traveling at 10.5 mph how many hours would it take to travel 6,776 miles

Answer 1

645 1/3

Explanation:

just divide 6776 by 10.5

Answer 2

`645\text{ hr } 20\text{ min} \ \ \text{ OR }\ \ 645 (1)/(3)\text{ hr}`

Explanation:

To figure out how much time it will take to travel a set distance at a constant speed, we can multiply the distance by the speed ratio in a form so that the distance units will cancel:

`6,\!776\text{ mi} \cdot \frac{1 \text{ hr}}{10.5 \text{ mi}}`

We can see that the mile units cancel, and we are left with the total time that the traveling takes:

`(6,\!776)/(10.5) \text{ hr}`

This can now be simplified:

↓ multiplying by
`(2)/(2)` (which is 1, so we aren't changing the value)

`(13,\!552)/(21)\text{ hr}`

↓ dividing by
`(7)/(7)` (which is also 1)

`(1936)/(3)\text{ hr}`

↓ rewriting as a mixed number

`645 (1)/(3)\text{ hr}`

↓ converting the third of an hour to minutes

`\boxed{645\text{ hr } 20\text{ min}}`