(a)Aldo took a trip last summer. In 4hours, he drove 40.8 kilometers (km) at a constant speed. Each kilometer required 2 liters of fuel. This summer, Aldo considers taking a 6 hour trip, driving the same distance each hour as the trip he took last summer.

Question

Fill in the blanks below. Then use the diagram to show the distance driven and fuel used in 6 hours.

Distance driven each hour:
km
Amount of fuel used for each hour:
liters
1 hour
km
liters
1 hour
km
liters
2 hours
(b)How much fuel would be needed to drive 6 hours?

Answer 1

To determine the distance Aldo drove each hour during his trip last summer, we can calculate his speed and then find the corresponding values for a 6-hour trip.

1. Calculate Aldo's speed:

   • Distance driven last summer = 40.8 km
   • Time taken = 4 hours

   Speed = Distance / Time = 40.8 km / 4 hours = 10.2 km/hour

2. Distance driven each hour:

   • Since Aldo drove at a constant speed of 10.2 km/hour, that is the distance driven each hour.

   Distance driven each hour: 10.2 km

3. Calculate the amount of fuel used each hour:

   • Each kilometer requires 2 liters of fuel.
   • Fuel used for each hour = Distance driven each hour × Fuel required per kilometer

   Amount of fuel used for each hour = 10.2 km × 2 liters/km = 20.4 liters

   Amount of fuel used for each hour: 20.4 liters

4. Summary for 1 hour:

   • Distance: 10.2 km
   • Fuel: 20.4 liters

With these values, we can now calculate the fuel usage for the entire 6-hour trip:

5. Distance and Fuel over 6 hours:

   • For 1 hour:

     • Distance: 10.2 km
     • Fuel: 20.4 liters

   • For 2 hours:

     • Distance: 10.2 km + 10.2 km = 20.4 km
     • Fuel: 20.4 liters + 20.4 liters = 40.8 liters

   • For 3 hours:

     • Distance: 10.2 km × 3 = 30.6 km
     • Fuel: 20.4 liters × 3 = 61.2 liters

   • For 4 hours:

     • Distance: 10.2 km × 4 = 40.8 km
     • Fuel: 20.4 liters × 4 = 81.6 liters

   • For 5 hours:

     • Distance: 10.2 km × 5 = 51.0 km
     • Fuel: 20.4 liters × 5 = 102.0 liters

   • For 6 hours:

     • Distance: 10.2 km × 6 = 61.2 km
     • Fuel: 20.4 liters × 6 = 122.4 liters

6. How much fuel would be needed to drive 6 hours?

   • Fuel needed for 6 hours = 20.4 liters/hour × 6 hours = 122.4 liters

(b) The amount of fuel needed to drive for 6 hours is 122.4 liters.