Question

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

Answer 1

Answer: $3\ min\ 12\ s$

Step-by-step 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 :

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

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:

$V=\frac{525\ m}{126\ s} \\\\V=\frac{25}{6\ }\frac{m}{s}$

The formula for the time is:

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

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

$V=\frac{25}{6\ }\frac{m}{s}\\\\d=800\ m$

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

$t=\frac{800\ m}{ \frac{25}{6\ }\frac{m}{s}}\\\\t=192\ s$

Convert from seconds to minutes:

$(192\ s)(\frac{1\ min}{60\ s} )=3.2\ min$

Converting 0.2 minutes to seconds, you get:

$(0.2\ min)(\frac{60\ s}{1\ min} )=12\ s$

Therefore:

$t=3\ min\ 12\ s$