A Student going from home to school covers one third of the total distance with a speed of 1 km/h and remaining distance with a speed of 4 km/h. Estimate the average speed of the student in km/h.2 km/h24km/h56 km/h66 km/h
Question
A Student going from home to school covers one third of the total distance with a speed of 1 km/h and remaining distance with a speed of 4 km/h. Estimate the average speed of the student in km/h.2 km/h24km/h56 km/h66 km/h
Solution
To estimate the average speed of the student, we need to calculate the total time taken for the entire journey and then divide it by the total distance traveled.
Let's assume the total distance from home to school is D km.
The student covers one third of the total distance, which is (1/3)D km, with a speed of 1 km/h. The time taken to cover this distance can be calculated using the formula: time = distance / speed. So, the time taken for this part of the journey is ((1/3)D) / 1 = (1/3)D hours.
The remaining distance, which is (2/3)D km, is covered with a speed of 4 km/h. Similarly, the time taken for this part of the journey is ((2/3)D) / 4 = (1/6)D hours.
Now, let's calculate the total time taken for the entire journey by adding the times taken for each part: (1/3)D + (1/6)D = (1/2)D hours.
To find the average speed, we divide the total distance (D km) by the total time taken ((1/2)D hours): average speed = D / ((1/2)D) = 2 km/h.
Therefore, the estimated average speed of the student is 2 km/h.
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