Question

A clock gains 0.020 s/min. how many seconds will the clock gain in exactly six months, assuming 30 days are in each month

Answer 1

To calculate the total seconds a clock gains in six months, we multiply the number of minutes in six months by the gain per minute, resulting in a total of 5,184 seconds gained.

Step-by-step explanation:

The question asks us to determine how many seconds a clock gains over a six-month period, assuming each month has 30 days. The clock gains 0.020 seconds per minute.

To find the total seconds gained, we need to calculate the number of minutes in six months and then multiply that by the gain per minute. There are 60 minutes in an hour, 24 hours in a day, and the problem assumes 30 days in a month. Over six months, this totals:

• 60 minutes/hour × 24 hours/day × 30 days/month × 6 months = 259,200 minutes

Now, multiply the total minutes by the gain per minute:

• 259,200 minutes × 0.020 seconds/minute = 5,184 seconds

Therefore, the clock will gain a total of 5,184 seconds over a six-month period assuming each month has 30 days.

Answer 2

total gain = (gain per minute) * (minutes in an hour) * (hours in a day) * (days in a month) * (Months required)

total gain = (0.020 s / min) * (60min/hour) * (24 hours/day) * (30 days/month) * (6 months)

total gain = 51840