Question

ANSWER ASAP!!!

An object is traveling at a steady speed of 10 1/10
mi ​/h. How long will it take the object to travel
4 9/10​? First round to the nearest integer to find the estimated answer. Then find the exact answer.

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 easily:

`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*(60min)/(1h) =29.11min`

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