Answer: (c) 16 kilometers
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Work Shown:
Convert each mixed number to an improper fraction.
3 & 1/9 = 3 + 1/9
3 & 1/9 = 3*(9/9) + 1/9
3 & 1/9 = 27/9 + 1/9
3 & 1/9 = (27+1)/9
3 & 1/9 = 28/9
The car's average speed is 28/9 km per hour.
5 & 1/7 = 5 + 1/7
5 & 1/7 = 5*(7/7) + 1/7
5 & 1/7 = 35/7 + 1/7
5 & 1/7 = (35+1)/7
5 & 1/7 = 36/7
The time the car travels is 36/7 hours.
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We did the conversions so we can multiply the values easier.
Distance = Rate*Time
Distance = (28/9)*(36/7)
Distance = (28*36)/(9*7)
Distance = (4*7*9*4)/(9*7)
Distance = (4*4)/(1)
Distance = 16 kilometers