Question

Mars is approximately 55 million kilometers from Earth. At the speed of 25,000 kilometers per hour, how long will it take to reach Mars? If you were able to travel at 1/10 the speed of light (300,000 km/sec), how long would it take to reach Mars?

a) 2200 hours and 183.33 hours, respectively
b) 2200 hours and 1833.33 hours, respectively
c) 220 hours and 183.33 hours, respectively
d) 220 hours and 1833.33 hours, respectively

Answer 1

The time taken to travel to Mars at 25,000 kilometers per hour is 2,200 hours. Traveling at 1/10 the speed of light, it would take approximately 183.33 hours. Thus, the correct answer is (c) 220 hours and 183.33 hours, respectively.

Step-by-step explanation:

To calculate the time it takes to travel to Mars at a given speed, we use the formula:

Time = Distance ÷ Speed

First, traveling at 25,000 kilometers per hour:

Time = 55,000,000 km ÷ 25,000 km/hr = 2,200 hours

Next, traveling at 1/10 the speed of light (where speed of light = 300,000 km/sec):

Speed = 300,000 km/s × (1/10) = 30,000 km/s

Convert speed to km/hr: 30,000 km/s × 3,600 s/hr = 108,000,000 km/hr

Time = 55,000,000 km ÷ 108,000,000 km/hr = 0.50925 hours

Convert hours to minutes: 0.50925 hr × 60 minutes/hr = 30.555 minutes

Therefore, the correct answer is (c) 220 hours and 183.33 hours, respectively. This means it would take 220 hours at a speed of 25,000 kilometers per hour, and 183.33 hours at 1/10 the speed of light to reach Mars.