Question

Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?

Answer 1

Answer:

97 minutes and 12 seconds

Explanation:

Let x be the total time

From the first statement

$\frac{10}{100}x=24\times 60+18\\\Rightarrow 0.1x=1458\\\Rightarrow x=\frac{1458}{0.1}\\\Rightarrow x=14580\ seconds$

Total time of Dara's exercise is 14580 seconds

40 %

$\frac{40}{100}\times 14580=5832\ seconds$

$\frac{5830}{60}=97.2\ minutes=97+0.2\times 60\\ =97\ minutes\ and\ 12\ seconds=1\ hour\ 37\ minutes\ and\ 12\ seconds$

Time when she had completed 40% was 1 hour 37 minutes and 12 seconds