Question

Ben walks to school and at the halfway point meets Len.

Together
they walk another third of the journey when they meet Ken.
The
three of them walk the rest of the journey. What fraction of the
journey do Ben, Len and Ken walk together ?​

Answer 1

1/3

Explanation:

let the whole journey be X

Ben walks 1/2 x before meeting Len

the remaining distance is X -1/2x = 1/2 x

Ben and Len walk a third of the of the journey

1/2x × 1/3 = 1/6x

the remaining journey is now (1/2 -1/6)x = 1/3x

thus Ben, Len and Ken walk together 1/3 of the journey.