Question

Aaron and Sam cover the same distance on foot at the speed of 8 km/hr and 6

km/hr. Find the distance covered by each one of them when one takes 15 minutes

longer than the other.

Answer 1

6 km

Step-by-step explanation:

speed of Aaron, v = 8 km/hr

speed of Sam, v' = 6 km/hr

time 15 min = 0.15 hr longer than the other

Let the distance covered by both of them is d.

Let the time taken by Aaron is t and the time taken by Sam is t + 0.25

use the formula of distance = speed x time

For Aaron:

d = 8 x t ..... (1)

For Sam:

d = 6 ( t + 0.25) ..... (2)

From (1) and (2)

8 x t = 6 (t + 0.25)

8 t = 6t + 1.5

2t = 1.5

t = 0.75 hour

So, the distance traveled by both is 8 x 0.75 = 6 km.