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# What distance will Sangita travel in 12 hours, if she maintains a speed of $25{\text{ m/sec}}$

Last updated date: 18th Jun 2024
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Hint: In this question, we need to determine the total distance covered by Sangita in 12 hours if she travels at a speed of 25 meters per second. For this, we will first convert the hours to seconds and then use the relation between distance, time and speed.

$1hr = 3600\sec \\ 12hr = 12 \times 3600 \\ = 43200\sec \\$
Now, the product of the speed and the time of the moving body results in the distance travelled by the body. Mathematically, $d = vt$ where, ‘d’ is the distance travelled by the body, ‘v’ is the speed of the body and ‘t’ is the time.
According to the question, Sangita’s speed is 25 meters per seconds, and we need to determine the distance travelled in 12 hours which is equivalent to 43200 seconds. So, substitute $v = 25{\text{ m/s}}$ and $t = 43200\sec$ in the formula $d = vt$ to determine the distance travelled by Sangita.
$\Rightarrow d = vt \\ = 25 \times 43200 \\ = 1080000{\text{ meters}} \\$
$\Rightarrow 1080000{\text{ meters}} = 1080km$
$\Rightarrow 25{\text{ m/sec}} = \dfrac{{25}}{{1000}} \times 60 \times 60{\text{ km/hr}} \\ = 90{\text{ km/hr}} \\$
$\Rightarrow d = vt \\ = 90 \times 12 \\ = 1080km \\$