Question

an object is traveling at a steady speed of 10 1/10 mi/h. How long will it take the object to travel 4 9/10mi?

Answer 1

Then, the object will take 29.11 min to travel
`4(9)/(10) miles`

Explanation:

When an object is moving at a steady speed, we can calculate the time it would take to travel a given distance using the following formula:

`time=(distance)/(speed)` (equation 1)

In this particular, both the given speed and distance are mixed fractions so we'll first convert them into improper fractions to operate more easyly:

`speed=10 (1)/(10) (mi)/(h)=((10*10)+1)/(10)(mi)/(h)=(101)/(10)(mi)/(h)`

`distance=4 (9)/(10) mi=((4*10)+9)/(10)mi=(49)/(10)mi`

So, now we can calculate the time using the equation 1:

`time=(distance)/(speed)=((49)/(10)mi)/((101)/(10)(mi)/(h))=(49*10)/(101*10)h`

`time=(49)/(101)h=0.49h`

And, if we want the result in minutes:

`time=(49)/(101)h*(60 min)/(1 h)=29.11 min`

Then, the object will take 29.11 min to travel
`4(9)/(10) miles`