Question

Two fighter jets leave an aircraft carrier. Both jets are flying to a destination which is 1000 miles from the aircraft carrier. The first jet flies at a speed of 300 miles every minute. However, it makes a pitstop 100 miles after it leaves. It stays at the pitstop for 1 hour before departing again. The second fighter jet flies at a speed of 150 miles every minute but does not make a pitstop. Which fighter jet will reach first?

Answer 1

After calculating the travel times, the second fighter jet, flying continuously at 150 miles per minute, will complete the journey in approximately 6 minutes and 40 seconds, which is much faster than the first jet that stops for 1 hour and continues at 300 miles per minute to cover the remaining distance.

Step-by-step explanation:

To determine which fighter jet will reach the destination first, we need to calculate the time taken by each jet to cover 1000 miles. The first jet flies at 300 miles per minute, and the second jet at 150 miles per minute.For the first jet, it first covers 100 miles and then makes a pitstop for 1 hour (60 minutes). We subtract the first 100 miles from the total distance to get the remaining distance of 900 miles. Since it travels at 300 miles per minute, the remaining distance will take 900/300 = 3 minutes to cover.Now, we must add the pitstop duration to the time taken to cover the initial 100 miles (which is 100/300 = 0.3333 minutes, or about 20 seconds) and the time to cover the rest. Thus, total time for the first jet is 0.3333 minutes + 60 minutes + 3 minutes = 63.3333 minutes or 63 minutes and 20 seconds.The second jet travels the entire 1000 miles without stopping. It takes 1000/150 = 6.6667 minutes, or about 6 minutes and 40 seconds, much less than the first jet even with the pitstop.Therefore, the second fighter jet will reach the destination first, considerably sooner than the first jet that stops for an hour.