Answer
The time it takes for a radio signal to reach Mars is \( \frac{60 \times 10^9 \, \mathrm{m}}{3.00 \times 10^8 \, \mathrm{m/s}} = 200 \, \mathrm{s} \) or \( 3.33 \, \mathrm{min} \).
Work Step by Step
The speed of light is approximately \( 3.00 \times 10^8 \, \mathrm{m/s} \) in a vacuum. To find the time it takes for a radio signal to reach Mars, we can use the formula \( \text{time} = \frac{\text{distance}}{\text{speed}} \).
Converting the distance from kilometers to meters, we get \( 60 \times 10^6 \, \mathrm{km} = 60 \times 10^9 \, \mathrm{m} \).
Using the speed of light, the time it takes for a radio signal to reach Mars is \( \frac{60 \times 10^9 \, \mathrm{m}}{3.00 \times 10^8 \, \mathrm{m/s}} = 200 \, \mathrm{s} \) or \( 3.33 \, \mathrm{min} \).
