Question

Matt wants to shave 2 1/2 minutes off his 5k race time. After a month of hard training. he managed to lower his overall time from 21 1/5 minutes to 19 1/4 minutes. By how many more minutes does Matt need to lower his race time. Do not include units (minutes) in your answer

Answer 1

We know that:

*Matt wants to shave 2 1/2 minutes= 5/2 minutes=2.5 minutes

*He managed to lower his overall time is 21 1/5 minutes to 19 1/4 minutes.

Then, subtract 21 1/5 by 19 1/4:

$\begin{gathered} 21\frac{1}{5}-19\frac{1}{4} \\ =\frac{105+1}{5}-\frac{76+1}{4} \\ =\frac{106}{5}-\frac{77}{4}=\frac{39}{20} \\ \frac{39}{20}=1.95\text{ minutes} \end{gathered}$

So he managed to lower his overall time by 1.95 minutes, How many more minutes does Matt need to shave 2.5 minutes?

$2.5-1.95=0.55\text{ minutes}$

He needs 0.55 minutes more to achieve his goal of shaving 2.5 minutes.