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The formula for the distance traveled over time 
t and at an average speed 
v is 
v*t.
Amit ran for 40 minutes at a speed of about 5 kilometers per hour.
What calculation will give us the estimated distance Amit ran in kilometers?
Choose 1 answer:
(A) 
5*40*60
(B) 
5*1000*40
(C) 
5*(40)/(60)
(D) 
(5)/(1000)*40

The formula for the distance traveled over time tt and at an average speed vv is vtv \cdot t. Amit ran for 4040 minutes at a speed of about 55 kilometers per hour. What calculation will give us the estimated distance Amit ran in kilometers? Choose 11 answer:\newline(A) 540605 \cdot 40 \cdot 60\newline(B) 51000405 \cdot 1000 \cdot 40\newline(C) 5(4060)5 \cdot \left(\frac{40}{60}\right)\newline(D) (51000)40\left(\frac{5}{1000}\right) \cdot 40

Full solution

Q. The formula for the distance traveled over time tt and at an average speed vv is vtv \cdot t. Amit ran for 4040 minutes at a speed of about 55 kilometers per hour. What calculation will give us the estimated distance Amit ran in kilometers? Choose 11 answer:\newline(A) 540605 \cdot 40 \cdot 60\newline(B) 51000405 \cdot 1000 \cdot 40\newline(C) 5(4060)5 \cdot \left(\frac{40}{60}\right)\newline(D) (51000)40\left(\frac{5}{1000}\right) \cdot 40
  1. Understand the formula: Understand the formula for distance.\newlineThe formula for distance is distance=speed×time\text{distance} = \text{speed} \times \text{time}. Amit's speed is given in kilometers per hour, and his running time is given in minutes. We need to make sure the units are consistent before we calculate the distance.
  2. Convert running time: Convert Amit's running time from minutes to hours.\newlineSince there are 6060 minutes in an hour, we divide the number of minutes Amit ran by 6060 to convert his running time to hours.\newline4040 minutes ÷\div 6060 minutes/hour = 4060\frac{40}{60} hours
  3. Calculate distance: Calculate the distance using the formula.\newlineNow we can use the formula distance=speed×time\text{distance} = \text{speed} \times \text{time} with the time in hours.\newlineDistance=5km/hour×(4060)hours\text{Distance} = 5 \, \text{km/hour} \times \left(\frac{40}{60}\right) \, \text{hours}
  4. Perform multiplication: Perform the multiplication to find the distance.\newlineDistance = 5×(40/60)5 \times (40/60)\newlineDistance = 5×(2/3)5 \times (2/3) (since 40/6040/60 simplifies to 2/32/3)\newlineDistance = (5×2)/3(5 \times 2)/3\newlineDistance = 10/310/3\newlineDistance = 3.3333.333\ldots kilometers
  5. Match with choices: Match the calculation with the given choices.\newlineThe calculation we performed, 5×(40/60)5 \times (40/60), matches choice (C).

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