Answer:8.38 kilometres is about how far the individual is from his place of employment.
Explanation:
Let's say the individual travels 'd' kilometres to get to work from his house.
He travels at a 16 km/hr walking pace on his way to work. The following formula can be used to determine how long it takes him to go to work:
Time = Speed / Distance
Time to work = d / 16 is the amount of time required to travel to work.
He travels at a 5 km/hr walking pace on his way back home. He needs to travel home in the following amount of time:
Time home = d / 5
The overall travel time, according to the problem, is 2 hours and 12 minutes, which can be translated to hours as follows:
Total time is equal to 2 + (12/60) = 2.2 hours.
We can write the equation as follows because the entire time is equal to the sum of the travel time to and from work:
total time = travel time to work + travel time home
When we substitute the appropriate values, we obtain:
2.2 = (d / 16) + (d / 5)
We can rearrange the equation to find the value of 'd':
2.2 = (5d + 16d) / (16 * 5)
2.2 = (21d) / 80 21d = 2.2 * 80 21d = 176 d = 176 / 21 d ≈ 8.38
Consequently, 8.38 kilometres is about how far the individual is from his place of employment.