Question

b)
Two persons 27 km apart, set out at the same time in the same direction and could
meet together in 9 hours. Had they walked in opposite direction, they would have
met in 3 hours. Find their initial speeds.​

Answer 1

Answer:

Let a = the walking rate of the 1st person which is the fastest walker

let b = the walking rate of the 2nd person

Given

9(a - b) = 27(walking the same direction)

3(a + b) = 27(walking in opposite directions)

on simplifying

a-b=3

a+b=9

Solving,

2a = 12

a = 12/2

a = 6 km/hr, 1st person's rate

then

6 + b = 9

b = 3 km/hr, 2nd person's rate