Question

Tomos is a skier he completed a ski race in 2 min 6 seconds

Answer 1

Answer:
`3\ min\ 12\ s`

Explanation:

The complete exercise is: "Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. Tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds"

For this exercise you can use the following formula to find the average speed :

`V=(d)/(t)`

Where "d" is the distance and "t" is the time.

In this case, based on the information given in the exercise, you can identify that:

`d=525\ m`

Since he completed a ski race in 2 min 6 seconds, and 1 minute has 60 seconds, you ge that this time in seconds is:

`t=120\ s+6\ s=126\ s`

Substitute these values into the formula to find the average speed:

`V=(525\ m)/(126\ s) \\\\V=(25)/(6\ )(m)/(s)`

The formula for the time is:

`t=(d)/(V)`

Knowing that Tomos assumes that his average speed is the same for each race, for the 800 meters race you can identify that:

`V=(25)/(6\ )(m)/(s)\\\\d=800\ m`

So, substituting values into the formula and evaluating, you get that the time it takes him to complete this race is:

`t=(800\ m)/( (25)/(6\ )(m)/(s))\\\\t=192\ s`

Convert from seconds to minutes:

`(192\ s)((1\ min)/(60\ s) )=3.2\ min`

Converting 0.2 minutes to seconds, you get:

`(0.2\ min)((60\ s)/(1\ min) )=12\ s`

Therefore:

`t=3\ min\ 12\ s`