An 18-year-old runner can complete a 10.0 km course with an average speed of 4.58 m/s. A 50-year-old runner can cover the same distance with an average speed of 4.36 m/s. How much later (in seconds) should the younger runner start in order to finish the the course at the same time as the older runner?
ytime = 10km * 1000m/km / 4.8m/s = 2083.3 sec
otime = 10km * 1000m/km / 4.36m/s = 2293.6 sec
difference = 210.3 sec
the youngster can loll around for about 3.5 minutes before taking off.
a child traveling 5 m/s on a sleed passes her younger brother. if her average acceleratrion in the sledding hill id 2m/s, how fast is the traveling when she passews her oldeer brother 4s later
To find out how much later the younger runner should start in order to finish at the same time as the older runner, we can first calculate the time it takes for each runner to complete the course.
Let's start with the 18-year-old runner:
Distance = 10.0 km
Average speed = 4.58 m/s
To find the time taken, we can use the formula:
time = distance / speed
time = 10,000 m / 4.58 m/s = 2,183.40611354 seconds
Now let's calculate the time taken by the 50-year-old runner:
Distance = 10.0 km
Average speed = 4.36 m/s
time = 10,000 m / 4.36 m/s = 2,293.57798165 seconds
To find out how much later the younger runner should start, we subtract the time it takes for the older runner from the time it takes for the younger runner:
2,293.57798165 seconds - 2,183.40611354 seconds = 110.17186811 seconds
Therefore, the younger runner should start 110.17186811 seconds later to finish at the same time as the older runner.
To determine how much later the younger runner should start in order to finish the course at the same time as the older runner, we need to calculate the time it takes for each runner to complete the course.
1. Calculate the time it takes for the 18-year-old runner:
- Distance = 10.0 km
- Speed = 4.58 m/s
- Time = Distance / Speed = 10000 m / 4.58 m/s
2. Calculate the time it takes for the 50-year-old runner:
- Distance = 10.0 km
- Speed = 4.36 m/s
- Time = Distance / Speed = 10000 m / 4.36 m/s
3. Calculate the time difference between the two runners:
- Time difference = Time taken by the 50-year-old runner - Time taken by the 18-year-old runner
Once we have the time difference, we can determine how much later the younger runner should start by subtracting the time difference from the older runner's time.
Here are the steps in detail:
1. Calculate the time taken by the 18-year-old runner:
- Distance = 10.0 km = 10000 m
- Speed = 4.58 m/s
- Time = Distance / Speed = 10000 m / 4.58 m/s = 2182.81938326 seconds
2. Calculate the time taken by the 50-year-old runner:
- Distance = 10.0 km = 10000 m
- Speed = 4.36 m/s
- Time = Distance / Speed = 10000 m / 4.36 m/s = 2293.57831922 seconds
3. Calculate the time difference:
- Time difference = Time taken by the 50-year-old runner - Time taken by the 18-year-old runner
- Time difference = 2293.57831922 seconds - 2182.81938326 seconds = 110.75893596 seconds
Therefore, the younger runner should start 110.75893596 seconds (or approximately 111 seconds) later than the older runner in order to finish the course at the same time.