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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.

User Sangeetha
by
6.0k points

1 Answer

3 votes

Answer:

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

User David Le Borgne
by
7.1k points
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