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15. A man walks to work at 16km/hr and back home at 5km/hr. find the distance from his wo place if the whole journey takes him 2 hours 12 minutes. ​

2 Answers

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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.

User Radyz
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Explanation:

Distance / rate = time

d/16km/hr + d / 5 km/hr = 2.2 hrs

solve for d = 8.38 km

User Biduleohm
by
8.2k points