An Olympic athlete run for x minutes at y metres a minute and walks for w minutes at z metres a minutes as part of his training schedule. If the length of the course is d metres, write a formula for d.
distance = speed * time, so
d = xy+wz
You can see this by watching the units.
xmin * ymeters/min = xy meters
Perfect, Thankyou so much
To find the total distance the Olympic athlete covers in a training session, we need to calculate the distance covered while running and walking separately, and then add them together.
The distance covered while running can be calculated by multiplying the time spent running (x minutes) by the speed of the athlete while running (y metres per minute). This gives us the formula:
Distance while running = x * y
Similarly, the distance covered while walking can be calculated by multiplying the time spent walking (w minutes) by the speed of the athlete while walking (z metres per minute). This gives us the formula:
Distance while walking = w * z
Finally, to find the total distance covered by the athlete, we add the distance while running to the distance while walking:
Total distance (d) = Distance while running + Distance while walking
= x * y + w * z
Therefore, the formula for the total distance covered (d) is:
d = x * y + w * z