Average speed is difined as the total distance travelled divided by the total time required to cover the distance. Mathematically, it is expressed as:
To obtain the average speed of Daniel, we shall determine the distance travelled in each case. This is illustrated below:
<h3>Case 1:</h3>Speed 1 (S₁) = 6 mph
Time 1 (t₁) = 0.8 h.
<h3>Distance 1 (D₁) =? </h3>Cross multiply
D₁ = 6 × 0.8
<h3>D₁ = 4.8 mile</h3><h3>Case 2:</h3>Speed 2 (S₂) = 2 mph
Time 2 (t₂) = 1.2 h.
<h3>Distance 2 (D₂) =? </h3>Cross multiply
D₂ = 2 × 1.2
<h3>D₂ = 2.4 mile </h3>Next, we shall determine the total time. This can be obtained as follow:
Time 1 (t₁) = 0.8 h.
Time 2 (t₂) = 1.2 h.
<h3>Total time (T) =? </h3>T = t₁ + t₂
T = 0.8 + 1.2
<h3>T = 2 h</h3>Next, we shall determine the total distance. This can be obtained as follow:
Distance 1 (D₁) = 4.8 mile
Distance 2 (D₂) = 2.4 mile
<h3>Total distance (D) =?</h3>D = D₁ + D₂
D = 4.8 + 2.4
<h3>D = 7.2 mile</h3>Finally, we shall determine the average speed of Daniel. This can be obtained as follow:
Total time = 2 h
Total distance = 7.2 mile
<h3>Average speed =?</h3>Therefore, the average speed of Daniel is 3.6 mph
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