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

97 minutes and 12 seconds

Step-by-step explanation:

Let x be the total time

From the first statement

`(10)/(100)x=24* 60+18\\\Rightarrow 0.1x=1458\\\Rightarrow x=(1458)/(0.1)\\\Rightarrow x=14580\ seconds`

Total time of Dara's exercise is 14580 seconds

40 %

`(40)/(100)* 14580=5832\ seconds`

`(5830)/(60)=97.2\ minutes=97+0.2* 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