A molorist takes 45 hours to reach his destination at \( 80 \mathrm{~km} / \mathrm{h} \) If he wants to complete his joumey in 4 hours, at what speed must he travel? If he drives at \( 110 \mathrm{~km} / \mathrm{h} \), how long will the journey be? Give answer in hour and minules

To find out the distance to the destination, use the formula: Distance = Speed × Time. Here, the speed is \( 80 \mathrm{~km/h} \) and the time is \( 45 \) hours. So, Distance = \( 80 \mathrm{~km/h} \times 45 \mathrm{~h} = 3600 \mathrm{~km} \). Now, if the motorist wants to complete the journey in \( 4 \) hours, we can use the same distance: Speed = Distance / Time, which gives us Speed = \( 3600 \mathrm{~km} / 4 \mathrm{~h} = 900 \mathrm{~km/h} \). Now, for the second part, if the motorist drives at \( 110 \mathrm{~km/h} \): Time = Distance / Speed: Time = \( 3600 \mathrm{~km} / 110 \mathrm{~km/h} \approx 32.73 \mathrm{~hours} \). Converting \( 0.73 \) hours to minutes: \( 0.73 \times 60 \approx 43.8 \) minutes. Thus, it will take about \( 32 \) hours and \( 44 \) minutes.