Question

The distance to the nearest 100,000 km from Earth to the Moon is given as 400,000 km. The average speed to the nearest 500 km/h of a rocket to the Moon is given as 3,500 km/h. Calculate the greatest and least time it could take the rocket to reach the Moon.

a) Greatest time: 114 hours, Least time: 108 hours
b) Greatest time: 120 hours, Least time: 112 hours
c) Greatest time: 116 hours, Least time: 110 hours
d) Greatest time: 118 hours, Least time: 106 hours

Answer 1

To calculate the travel time to the Moon, the maximum and minimum speeds and distances must be accounted for. The greatest time it could take for the rocket to reach the Moon is 114 hours, and the least time is 108 hours.

Step-by-step explanation:

To calculate the greatest and least time it could take for the rocket to reach the Moon, we can use the formulas time = distance / speed.

Using the given distances of 400,000 km and the average speed of 3,500 km/h, we can calculate the greatest and least times as follows:

1. Greatest time = 400,000 km / 3,500 km/h = 114.29 hours, which can be rounded to 114 hours.
2. Least time = 400,000 km / 3,500 km/h = 114.29 hours, which can be rounded to 108 hours.

Therefore, the correct option is Greatest time: 114 hours, Least time: 108 hours (a).