Question

$\frac{3.86}{x}+\frac{180.2}{10x}+\frac{42.2}{5x}$
The Ironman Triathlon originated in Hawaii in 1978. The format of the Ironman has not changed since then: It consists of a $3.86-km$ swim, a $180.2-km$ bicycle ride and a $42.4-km$, all raced in that order and without a break. Suppose an athlete bikes $10$ times as fast as he swims and runs $5$ times as fast as he swims. The variable $x$ in the expression above represents the rate at which the athlete swims, and the whole expression represents the number of hours that it takes him to complete the race. If it takes him $16.2$ hours to complete the race, how many kilometers did he swim in $1$ hour?

• A. $0.85$
• B. $1.01$
• C. $1.17$
• D. $1.87$

Answer 1

Answer: (D)

$1.87$

$x$ is basically the $speed$ at which the Swimmer swims

So,

$\Rightarrow \frac{3.86}{x}+\frac{180.2}{10x}+\frac{42.4}{5x}=16.2$

$\Rightarrow x=\frac{303.2}{162}$

$\Rightarrow x=1.87$

Therefore Answer is $\left(D\right)$