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A car travels the first 160 km at a speed of 64 km/h and the next 160 km at a speed of 80 km/hr What is the average speed for the first 320 km of the
Question

A car travels the first 160 km at a speed of 64 km/h and the next 160 km at a speed of 80 km/hr What is the average speed for the first 320 km of the tour?

A.

70 km/h

B.

71.11 km/h

C.

66 km/h

D.

75.32 km/h

Correct option is B

Given:
Distance for the first part of the trip = 160 km, speed = 64 km/h.
Distance for the second part of the trip = 160 km, speed = 80 km/h.
Formula Used:
Average Speed=2×Speed1×Speed2Speed1+Speed2.\text{Average Speed} = \frac{2 \times \text{Speed}_1 \times \text{Speed}_2}{\text{Speed}_1 + \text{Speed}_2}.​​
Solution:
Using the formula for average speed:
Speed1=64 km/hSpeed2=80 km/hAverage Speed=2×64×8064+80=2×5120144=1024014471.11 km/h.\text{Speed}_1 = 64 \, \text{km/h} \\\text{Speed}_2 = 80 \, \text{km/h} \\\text{Average Speed} = \frac{2 \times 64 \times 80}{64 + 80} = \frac{2 \times 5120}{144} = \frac{10240}{144} \approx 71.11 \, \text{km/h}.

Alternate Method:

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