Aspaceship is traveling at an average speed of 8 kilometers per seconds towards the moon. if the spaceship needs to travel 403,200 kilometers to reach the moon, how many hours will it take to get there?

14 Hours

Step by step:

Start by listing the information from the problem.

The spaceship's average speed is 8 kilometers per second. You can write this as a fraction in two ways:  

8 km

1 sec

or  

1 sec

8 km

.

The spaceship needs to travel 403,200 kilometers.

The problem asks how long it will take the spaceship to travel 403,200 kilometers. The spaceship is moving at a rate of  

1 sec

8 km

. Multiply so that the kilometers cancel out. The result will be in seconds.

403,200km

1sec

8km

=

403200kmsec

8km

=50400 sec

Now you know it will take the spaceship 50,400 seconds to reach the moon, but the problem asks about hours. So, convert the seconds to hours. If you don't know how many seconds are in an hour, you can first convert the seconds to minutes.

There are 60 seconds in 1 minute, so multiply by  

1 min

60 sec

. The result will be in minutes since the units of seconds cancel out.

50,400sec

1min

60sec

=

50400secmin

60sec

=840 min

Now convert 840 minutes to hours. There are 60 minutes in 1 hour, so multiply by  

1 hr

60 min

.

840min

1hr

60min

=

840minhr

60min

=14 hr

It will take the spaceship 14 hours to get to the moon.

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step-by-step explanation: