Richard drives a car from Toto Village to Madang Town at an average speed of [tex]$80 km / hour$[/tex].
(a) What is the distance between Toto Village and Madang Town if it took Richard [tex]$2 \frac{1}{2}$[/tex] hours?
(b) Richard had an empty tank on arrival in town. If his car holds 40 L, what must have been the fuel consumption rate of his car?
Answer (2)
Calculate the distance between Toto Village and Madang Town using the formula d i s t an ce = s p ee d × t im e , which gives d i s t an ce = 80 h o u r km × 2.5 h o u rs = 200 km .
Calculate the fuel consumption rate using the formula f u e l co n s u m pt i o n r a t e = d i s t an ce t r a v e ll e d t o t a l f u e l co n s u m e d .
Substitute the values to find the fuel consumption rate: f u e l co n s u m pt i o n r a t e = 200 km 40 L = 0.2 km L .
The fuel consumption rate of Richard's car is 0.2 km L .
Explanation
Problem Analysis We are given that Richard drove from Toto Village to Madang Town at an average speed of 80 h o u r km and it took him 2.5 hours. We need to find the distance between the two locations and the fuel consumption rate of his car, given that his car holds 40L and he had an empty tank on arrival.
Calculating the Distance First, we need to calculate the distance between Toto Village and Madang Town. We can use the formula: d i s t an ce = s p ee d × t im e
Distance Calculation Result Given the speed is 80 h o u r km and the time is 2.5 hours, we can substitute these values into the formula: d i s t an ce = 80 h o u r km × 2.5 h o u rs d i s t an ce = 200 km So, the distance between Toto Village and Madang Town is 200 km .
Calculating Fuel Consumption Rate Next, we need to calculate the fuel consumption rate. We can use the formula: f u e l co n s u m pt i o n r a t e = d i s t an ce t r a v e ll e d t o t a l f u e l co n s u m e d
Fuel Consumption Rate Result We know that Richard's car tank was empty on arrival and his car holds 40L. This means he consumed 40L of fuel to travel the 200 km . Substituting these values into the formula: f u e l co n s u m pt i o n r a t e = 200 km 40 L f u e l co n s u m pt i o n r a t e = 0.2 km L So, the fuel consumption rate of Richard's car is 0.2 km L .
Final Answer Therefore, the distance between Toto Village and Madang Town is 200 km , and the fuel consumption rate of Richard's car is 0.2 km L .
Examples
Understanding fuel consumption is crucial for planning road trips and managing vehicle expenses. For instance, if you're planning a 500 km journey and your car's fuel consumption rate is 0.1 km L , you can calculate the total fuel needed: 500 km × 0.1 km L = 50 L . Knowing the price per liter, you can estimate the total fuel cost. This helps in budgeting and making informed decisions about travel routes and vehicle maintenance.
The distance between Toto Village and Madang Town is 200 km, calculated using the formula distance = speed × time. Richard's car had a fuel consumption rate of 0.2 L/km, based on consuming 40 liters over that distance. These calculations help in understanding the efficiency of vehicle travel.
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