Richard is traveling at an average speed of [tex]$80 km / hour$[/tex] by car from Toto Village to Madang Town.
(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?
(c) If it costs K 3.45 per liter, what is the fuel cost for the whole trip?
(d) On the return trip, it took Richard 4 hours to arrive home. What must have been his speed on the return trip?
Answer (2)
Fuel consumption rate is calculated by dividing the fuel tank capacity by the distance traveled: 200 40 = 0.2 L/km.
Total fuel cost is found by multiplying the fuel tank capacity by the cost per litre: 40 × 3.45 = 138 K.
The speed on the return trip is calculated by dividing the distance by the time taken: 4 200 = 50 km/hour.
The fuel consumption rate is 0.2 L/km , the fuel cost is K 138 , and the return trip speed is 50 km/hour .
Explanation
Problem Analysis We are given that Richard is traveling at an average speed of 80 km/hour from Toto Village to Madang Town. The trip takes 2.5 hours. We need to find (b) the fuel consumption rate of his car, given that his car holds 40 L and the tank was empty on arrival, (c) the fuel cost for the whole trip, given that it costs K 3.45 per litre, and (d) Richard's speed on the return trip, which took 4 hours.
Fuel Consumption Rate (b) To find the fuel consumption rate, we need to divide the amount of fuel consumed (which is the capacity of the tank, 40 L) by the distance traveled. We already know from part (a) that the distance is 200 km. Therefore, the fuel consumption rate is: 200 km 40 L = 0.2 L/km So, the fuel consumption rate is 0.2 L/km.
Total Fuel Cost (c) To find the total fuel cost, we multiply the amount of fuel consumed (40 L) by the cost per litre (K 3.45). Therefore, the total fuel cost is: 40 L × K 3.45/L = K 138 So, the fuel cost for the whole trip is K 138.
Return Trip Speed (d) To find the speed on the return trip, we divide the distance (200 km) by the time taken (4 hours). Therefore, the speed is: 4 hours 200 km = 50 km/hour So, Richard's speed on the return trip was 50 km/hour.
Final Answers In summary: (b) The fuel consumption rate of Richard's car is 0.2 L/km. (c) The fuel cost for the whole trip is K 138. (d) Richard's speed on the return trip was 50 km/hour.
Examples
Understanding fuel consumption and travel costs is essential for planning road trips and managing transportation expenses. For example, if you're planning a road trip from one city to another, you can use the fuel consumption rate of your car and the distance between the cities to estimate the amount of fuel you'll need. Multiplying this by the cost per litre gives you an estimate of the total fuel cost for the trip. This helps in budgeting and making informed decisions about travel.
Richard traveled 200 km to Madang Town, consumed fuel at a rate of 0.2 L/km, incurring a total fuel cost of K 138, and returned at a speed of 50 km/hour.
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