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In the future, scientists may want to make a unit of time that is convenient for people living on both Earth and Mars. The new unit of time, called the space-hour, should divide evenly into the number of minutes in each planet’s day. Under the current Earth definition of minutes, Earth has 1440 minutes per day, and Mars has approximately 1480 minutes per day.

a. Analyze What is the greatest number of minutes that could be in a space- hour?

b. Apply How many space-hours would there be each day on Earth? On Mars?

c. A spacecraft that uses current technology can take 210 days to travel from Earth to Mars. Use a calculator to find how long this trip would be in space-hours.

Short Answer

Expert verified

(a) The greatest number of minutes that could be in a space hour is 25 hours.

(b)

Earth =24hours

Mars =25hours

(c) The time travels from Earth to Mars is 5145 hours.

Step by step solution

01

a.Step 1   Apply the concept of Variable

In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

02

  Given information

In the future, scientists may want to make a unit of time that is convenient for people living on both Earth and Mars. The new unit of time, called the space-hour, should divide evenly into the number of minutes in each planet’s day. Under the current Earth definition of minutes, Earth has 1440 minutes per day, and mars has approximately 1480 minutes per day.

03

  Calculation

In one hour is 60 minutes.

For Earth

So, Time in space-hour 144060=24hours

For Mars

So, Time in space-hour 148060=24.6725hours

On mars number of minutes in space-hour is greater than Earth.

04

b.Step 1   Apply the concept of Variable

In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

05

  Given information

In the future, scientists may want to make a unit of time that is convenient for people living on both Earth and Mars. The new unit of time, called the space-hour, should divide evenly into the number of minutes in each planet’s day. Under the current Earth definition of minutes, Earth has 1440 minutes per day, and mars has approximately 1480 minutes per day.

06

  Calculation

In one hour is 60 minutes.

For Earth

So, Time in space-hour 144060=24hours

For Mars

So, Time in space-hour 148060=24.67hours

07

c.Step 1   Apply the concept of Variable

In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

08

  Given information

In the future, scientists may want to make a unit of time that is convenient for people living on both Earth and Mars. The new unit of time, called the space-hour, should divide evenly into the number of minutes in each planet’s day. Under the current Earth definition of minutes, Earth has 1440 minutes per day, and mars has approximately 1480 minutes per day.

09

  Calculation

A spacecraft that uses current technology can take 210 days to travel from Earth to Mars.

First find the mean of space-hours of both Earth and Mars.

The average of space-hour is 24.5 hour per day.

Total time to travel from Earth to Mars in 210 days.

Now convert into space-hours

In 1 day space–hour = 24.5 hours

In 210 days space-hours =24.5×210=5145hours

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