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A molorist takes 45 hours to reach his destination at
If he wants to complete his joumey in 4 hours, at what speed must he travel?
If he drives at , how long will the journey be? Give answer in hour
and minules

Ask by Byrd Chen. in South Africa
Feb 24,2025

Solución de inteligencia artificial de Upstudy

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To complete the 3600 km journey in 4 hours, the motorist must travel at 900 km/h. At 110 km/h, the journey will take approximately 32 hours and 44 minutes.

Solución

Step 1: Calculate the distance.
Distance = Speed × Time = 80 km/h × 45 h = 3600 km.
Step 2: Find the required speed to complete the journey in 4 hours.
Required Speed = Distance ÷ Time = 3600 km ÷ 4 h = 900 km/h.
Step 3: Find the time taken if the motorist drives at 110 km/h.
Time = Distance ÷ Speed = 3600 km ÷ 110 km/h ≈ 32.7273 hours.
To convert 0.7273 hours to minutes:
Minutes = 0.7273 × 60 ≈ 43.64 minutes ≈ 44 minutes (approximately).
Therefore:
  1. The motorist must travel at 900 km/h to complete the journey in 4 hours.
  2. At 110 km/h, the journey will take approximately 32 hours and 44 minutes.

Respondido por UpStudy AI y revisado por un tutor profesional

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Mind Expander

To find out the distance to the destination, use the formula:
Distance = Speed × Time.
Here, the speed is and the time is hours.
So, Distance = .
Now, if the motorist wants to complete the journey in hours, we can use the same distance:
Speed = Distance / Time,
which gives us Speed = .
Now, for the second part, if the motorist drives at :
Time = Distance / Speed:
Time = .
Converting hours to minutes: minutes.
Thus, it will take about hours and minutes.

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