Problema Solution

Kyra walks and jogs each morning. She averages 4 km/h walking and 8 km/h jogging. The round trip distance that she walks and jogs is 6 km and she makes the trip in 1 hour. How far does she walk?

Answer provided by our tutors

Let x be the time spent on jogging , and y be the time spent on walking

Equation 1 : x + y = 1

Equation 2: 8x + 4y = 6

 

By rearranging Equation 1 : y = 1 - x, and substitute it into Equation 2:

8x + 4(1-x) = 6

8x - 4x + 4 = 6

4x = 2

x = 0.5 hours

Thus, y = 1- 0.5 = 0.5 hours

 

Hence, the walking distance is 4 * 0.5 = 2 km