In training for a swim meet, Logan swam 750 meters in \large \frac {1}{3} 3 1 ​ of an hour. His swimming partner, Mila, swam \frac {2}{3} 3 2 ​ of Logan's distance in \frac {1}{4} 4 1 ​ of an hour. what is milas average speed

Respuesta :

Answer:

2 km/hr

Step-by-step explanation:

Distance traveled by Logan = 750 m = 0.75 km = [tex]\frac{3}{4}\ km[/tex]

Time taken by Logan = [tex]\frac{1}{3}\ hours[/tex]

To calculate the speed using time and distance, following formula is used:

[tex]\text{Average Speed =} \dfrac{\text{Total Distance}}{\text{Total Time}}[/tex]

Speed of Logan :

[tex]\dfrac{\frac{3}{4}}{\frac{1}{3}}\\\Rightarrow \dfrac{9}4\ km/hr[/tex]

Distance traveled by Mila = [tex]\frac{2}{3}[/tex] of Logan's distance:

[tex]\frac{2}{3}\times \frac{3}{4} = \frac{1}{2}\ km[/tex]

Time taken by Mila = [tex]\frac{1}{4}\ hr[/tex]

As per formula above:

Average Speed of Mila is given as:

[tex]\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow \bold{2 km/hr}[/tex]