Question

If a wheelchair-marathon racer moving at 13.1 miles per hour expends energy at a rate of 645 calories per hour, how much energy in calories would be required to complete a marathon race (26.2 miles) at this pace

Answer 1

Answer:

$1290$ calories

Step-by-step explanation:

Given: The racer moves at $13.1$ miles per hour expends energy at a rate of $645$ calories per hour.

To find: Energy in calories, required to complete a marathon race $26.2$ miles at this pace.

Solution: We have,

The racer moves at $13.1$ miles per hour.

The racer expends energy at a rate of $645$ calories per hour.

So, energy expended while moving $13.1$ miles $=645$ calories.

Now, energy expended while moving $1$ mile $=\frac{645}{13.1}$ calories.

So, energy expended while moving $26.2$ miles $=\frac{645}{13.1}\times 26.2=645\times 2=1290$ calories.

Hence, $1290$ calories of energy is required to complete a marathon race $26.2$ miles at this pace.

Answer 2

The wheelchair-marathon racer would need 1290 calories to complete the marathon race.

Speed

Speed is the ratio of distance travelled to total time taken. It is given by:

Speed = distance / time

The speed of the racer is 13.1 miles per hour. To complete a 26.2 miles:

13.1 = 26.2 / t

t = 2 hours.

The racer expends energy at a rate of 645 calories per hour, for 2 hours:

Amount of calories = 645 calories per hour * 2 hours = 1290 calories

The wheelchair-marathon racer would need 1290 calories to complete the marathon race.

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