Mathematics: An object is traveling at a steady speed of 10 and one tenth mi/h. How long will it take the object to travel 1 and nine tenths mi? First round to the nearest integer to find the estimated answer. Then find the exact answer.

5x = 2x+12 because in similar triangles, the angles are ALWAYS equal3x=12x=42(4)+12=AA=20 degrees...

An object is traveling at a steady speed of 10 and

raquelqueengucci25

21.01.2022

19/101 hour (11 minutes)

Step-by-step explanation:

For a uniform motion (constant velocity), the time taken for an object to cover a certain distance is given by

$t=\frac{d}{v}$

where

d is the distance to cover

v is the speed of the object

In this problem, we have:

- The speed is

$v=10\frac{1}{10}mi/h$

Converting into an improper fraction,

$v=\frac{10\cdot 10+1}{10}=\frac{101}{10}mi/h$

- The distance to cover is

$d=1\frac{9}{10}mi$

Converting into improper fraction,

$d=\frac{1\cdot 10+9}{10}=\frac{19}{10}mi$

Therefore, the time taken is:

$t=\frac{19/10}{101/10}=\frac{19}{10}\cdot \frac{10}{101}=\frac{19}{101}h$

Converting into minutes:

$t=\frac{19}{101}\cdot 60 =\frac{1140}{101}min \sim 11 min$

which is the nearest integer.

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