Phil consumed 1,200 calories at lunch. He has a goal of burning at least 5% of those calories by walking on the treadmill. If walking on the treadmill burns 200 calories per hour, which statement best describes how long he should walk on the treadmill?

Respuesta :

swyw88
5% of 1200 calories = 1200 × 0.05 = 60 calories

If one hour on the treadmill burns 200 calories and he only needs to burn 60 calories,

60 minutes ÷ 200 calories = 0.3 minutes needed to burn 1 calorie
0.3 × 60 = 18 minutes needed to burn 60 calories

Total time needed to Phill need to walk on the treadmill in order to burn at least 5% of 1200 calories, which he consumed at lunch, is 18 minutes.

What is percentage ?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

Phil consumed 1,200 calories at lunch. He has a goal of burning at least 5% of those calories by walking on the treadmill.

For this, the 5 percent of the 1200 calories has to be found out first. Suppose the 5 percent of the 1200 calories is x. Therefore,

[tex]x=\dfrac{5}{100}\times1200\\x=60\rm \;calories[/tex]

Thus, the goal of Phil is burning 60 calories. Now Phil wants to burn these calories by walking on the treadmill.

By walking on the treadmill, he can burn 200 calories per hour. There is total 60 minutes in one hour. Hence, the number of calories he can burn in one minute is,

[tex]n=\dfrac{200}{60}\\n=\dfrac{10}{3}[/tex]

As, by walking on the treadmill, Phil can burn 10/3 calories per minute, and he wants to burn 60 calories. Therefore, the time needed him to burn 60 calories with rate of 10/3 calories per minute is,

[tex]t=\dfrac{60}{\dfrac{10}{3}}\\t=18\rm minutes[/tex]

Thus, total time needed to Phill need to walk on the treadmill in order to burn at least 5% of 1200 calories, which he consumed at lunch, is 18 minutes.

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