Question

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

Answer 1

2 km/hr

Explanation:

Distance traveled by Logan = 750 m = 0.75 km =
`(3)/(4)\ km`

Time taken by Logan =
`(1)/(3)\ hours`

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

`\text{Average Speed =} \frac{\text{Total Distance}}{\text{Total Time}}`

Speed of Logan :

`((3)/(4))/((1)/(3))\\\Rightarrow \frac{9}4\ km/hr`

Distance traveled by Mila =
`(2)/(3)` of Logan's distance:

`(2)/(3)* (3)/(4) = (1)/(2)\ km`

Time taken by Mila =
`(1)/(4)\ hr`

As per formula above:

Average Speed of Mila is given as:

`((1)/(2))/((1)/(4))\\\Rightarrow (4)/(2)\\\Rightarrow \bold{2 km/hr}`