shane swims 42 laps in 26 minutes and 19 seconds. how many minutes and seconds would it take shane to swim 15 laps at the same average speed
+26400 shane swims 42 laps in 26 minutes and 19 seconds. how many minutes and seconds would it take shane to swim 15 laps at the same average speed
\(\begin{array}{rcll} 26\ {\text{minutes}} \text{ and } 19 \ {\text{seconds}} &=& 26\ {\text{minutes}} + \frac{19}{60}\ {\text{minutes}} \\ &=& \frac{ 26 \cdot 60 + 19 } {60 }\ {\text{minutes}} \\ &=& \frac{ 1579 } {60 }\ {\text{minutes}} \\ \end{array}\)
15 laps:
\(\begin{array}{rcll} t \cdot \frac{ 42\ \text{laps} } { \frac{ 1579 } {60 } \ {\text{minutes} } } &=& 15\ \text{laps} \\ t &=& \frac{ 15\ \text{laps} } { 42\ \text{laps} } \cdot \frac{ 1579 } {60 } \ {\text{minutes} } \\ t &=& \frac{ 1579 } {168 } \ {\text{minutes} } \\ t &=& 9\ {\text{minutes}} \text{ and } 24 \ {\text{seconds}} \\ \end{array}\)
+26400 shane swims 42 laps in 26 minutes and 19 seconds. how many minutes and seconds would it take shane to swim 15 laps at the same average speed
\(\begin{array}{rcll} 26\ {\text{minutes}} \text{ and } 19 \ {\text{seconds}} &=& 26\ {\text{minutes}} + \frac{19}{60}\ {\text{minutes}} \\ &=& \frac{ 26 \cdot 60 + 19 } {60 }\ {\text{minutes}} \\ &=& \frac{ 1579 } {60 }\ {\text{minutes}} \\ \end{array}\)
15 laps:
\(\begin{array}{rcll} t \cdot \frac{ 42\ \text{laps} } { \frac{ 1579 } {60 } \ {\text{minutes} } } &=& 15\ \text{laps} \\ t &=& \frac{ 15\ \text{laps} } { 42\ \text{laps} } \cdot \frac{ 1579 } {60 } \ {\text{minutes} } \\ t &=& \frac{ 1579 } {168 } \ {\text{minutes} } \\ t &=& 9\ {\text{minutes}} \text{ and } 24 \ {\text{seconds}} \\ \end{array}\)
