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⋅(6040)(D) (10005)⋅40
Q. 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⋅(6040)(D) (10005)⋅40
Understand the formula: Understand the formula for distance.The formula for distance is distance=speed×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.
Convert running time: Convert Amit's running time from minutes to hours.Since there are 60 minutes in an hour, we divide the number of minutes Amit ran by 60 to convert his running time to hours.40 minutes ÷60 minutes/hour = 6040 hours
Calculate distance: Calculate the distance using the formula.Now we can use the formula distance=speed×time with the time in hours.Distance=5km/hour×(6040)hours
Perform multiplication: Perform the multiplication to find the distance.Distance = 5×(40/60)Distance = 5×(2/3) (since 40/60 simplifies to 2/3)Distance = (5×2)/3Distance = 10/3Distance = 3.333… kilometers
Match with choices: Match the calculation with the given choices.The calculation we performed, 5×(40/60), matches choice (C).
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