It takes a lady 26 minutes to travel 3 km by walking the first but at 6 km/h and running the second part at 10 km/h what distance does she walk

Answer 1

Let the distance of walking be x km.
Then the distance of running would be 3 - x km.

Time taken to walk x km at 6 km/h = x/6
Time taken to run 3 - x km at 10 km/h = (3 - x)/10

According to the given information, the total time taken to complete the journey is 26 minutes, or 26/60 = 0.4333 hours.

Therefore, x/6 + (3 - x)/10 = 0.4333
Multiplying by 60 to clear the fractions,
10x + 6(3 - x) = 0.4333 * 60
10x + 18 - 6x = 26
4x = 8.7
x = 2.175 km

Therefore, the lady walks 2.175 km.