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Kamal runs marathons, which are about $26$ miles long. He usually runs $4$ marathons a year, and he has been doing this for $11$ years. Kamal estimates he has run a little over $100$ miles during all these marathons. Is that a good estimate? $\newline$ (A) Yes. $\newline$ (B) No, it is much too high. $\newline$ (C) No, it is much too low.

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Add and subtract integers: word problems

Full solution

Q. Kamal runs marathons, which are about

26

miles long. He usually runs

4

marathons a year, and he has been doing this for

11

years. Kamal estimates he has run a little over

100

miles during all these marathons. Is that a good estimate?

\newline

(A) Yes.

\newline

(B) No, it is much too high.

\newline

(C) No, it is much too low.

Calculate Total Marathons: Step $1$ : Calculate the total number of marathons Kamal has run over $11$ years. He runs $4$ marathons each year. $\newline$ Calculation: $4$ marathons/year $\times$ $11$ years = $44$ marathons.
Calculate Total Distance: Step $2$ : Calculate the total distance Kamal has run in these marathons. Each marathon is approximately $26$ miles long. $\newline$ Calculation: $44$ marathons $\times$ $26$ miles/marathon = $1144$ miles.
Compare Estimate with Calculation: Step $3$ : Compare Kamal's estimate of running ＂a little over $100$ miles＂ with the calculated total of $1144$ miles. $\newline$ Reasoning: Kamal's estimate of a little over $100$ miles is significantly lower than $1144$ miles.

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