Question

Kim, Jim, and Pim ran around a circular track together. Kim took 882 seconds, Jim took 245 seconds, and Pim took 630 seconds to complete one complete round around the track. After how much time were they together again?

• A. 73 minutes 50 seconds
• B. 1 hour 13 minutes 50 seconds
• C. 63 minutes 30 seconds
• D. 1 hour 13 minutes 30 seconds

Answer 1

The correct option is D 1 hour 13 minutes 30 seconds

It is given that Kim took 882 seconds, Jim took 245 seconds, and Pim took 630 seconds to complete one complete circle.

To get the time where they all met together again, we need to find the LCM of 882, 245, and 630.

LCM of 882, 245, and 630
$=2\times 5\times 7\times 9\times 7=4410$

So, they met again at 4410 seconds.

Let's convert seconds to minutes.

To convert seconds to minutes, we need to divide the number of seconds with 60.

$4410\text{seconds}=\frac{4410}{60}=73.5\text{minutes}$

73.5 minutes can be written as (60 minutes + 13 minutes + 0.5 minutes) = 1 hour 13 minutes 30 seconds.

So, they met after 1 hour 13 minutes 30 seconds.