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?

A. 10 min 48 sec
B. 14 min 52 sec
C. 14 min 58 sec
D. 16 min 6 sec
E. 16 min 12 sec

Answer 1

Answer:

The correct option is E. 16 min 12 sec.

Step-by-step explanation:

Consider the provided information.

When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session.

That means 24 min 18 sec is 90% of her exercise time.

First convert the 24 min 18 sec into seconds:

24 min 18 sec = 1440+18 = 1458 seconds

Let x represents the 100%.

$\frac{1458}{x}=\frac{90\%}{100\%}$

$x=\frac{1458}{0.9}$

$x=1620$

That means the total time of workout was 1620 seconds or 27 minutes.

Now she had completed 40% of her exercise session, that means the readout will indicate 60% of the time.

Calculate the 60% of 1620 as shown:

$1620\times \frac{60}{100}=972$

Now convert 972 seconds into minutes as shown:

972 seconds = 960 seconds + 12 seconds = 16 min 12 seconds

Hence, the correct option is E. 16 min 12 sec.