The distance to the nearest 100,000 km from the earth to the moon is given as 400,000 km. The average speed to the Nearest 500km/h is 3500km/h. Calculate the least and greatest time it takes the rocket to reach the moon
I figured out the formula speed = distance / time but none of these numbers and giving me the answers like my textbook which are 93.3and 138.5
Distance : 350000km < 4000000km < 450000km(to the nearest 1000000km)
Average speed : 3250km/h < 3500km/h < 3750km/h(to the nearest 500km/h)
Since, Time = Distance/Speed.
Therefore, least time = 350000km / 3750km/h (lower bound)
greatest time = 450000km / 3250km/h (upper bound)
Fay, your answer is right.
what do you get for the range of distance and speed?
To calculate the least and greatest time it takes for the rocket to reach the moon, we can use the formula speed = distance / time. Let's plug in the given values and solve for time.
Given:
Distance to the moon = 400,000 km
Speed = 3500 km/h
To find the least time, we'll use the maximum distance and the minimum speed:
400,000 km = 3500 km/h * time (least time)
Divide both sides of the equation by 3500 km/h:
400,000 km / 3500 km/h = time (least time)
Using a calculator, we find that the least time it takes to reach the moon is approximately 114.29 hours.
Next, let's calculate the greatest time using the minimum distance and the maximum speed:
100,000 km = 3500 km/h * time (greatest time)
Divide both sides of the equation by 3500 km/h:
100,000 km / 3500 km/h = time (greatest time)
Using a calculator, we find that the greatest time it takes to reach the moon is approximately 28.57 hours.
Therefore, the least time it takes for the rocket to reach the moon is approximately 114.29 hours (or 4.77 days), and the greatest time is approximately 28.57 hours (or 1.19 days).