Question

The distance between Earth and a star is $4.5\times {10}^{7}miles$. If a spaceship can travel at a speed of 1320 miles per hour, how many days will it take the spaceship to reach the star?

• A. 1320.5 days
• B. 1398 days
• C. 1440 days
• D. 1420.5 days

Answer 1

The correct option is D 1420.5 days

Speed of the spaceship =1320 mi per h $=1.32\times {10}^3$mi per h
Distance between Earth and the star $=4.5\times {10}^{7}mi=45000\times {10}^{3}mi$
We know,
Distance = speed $\times$ time
$\Rightarrow 45000\times {10}^3=1.32\times {10}^3\times \text{time}$
$\Rightarrow \text{Time}=\frac{45000\times {10}^3}{1.32\times {10}^3}$
$\Rightarrow \text{Time}\simeq 34091h$

We know,
1 day = 24 h
Time taken to reach the star = 34091 h $=\frac{34091}{24}\simeq 1420.5$ days.