How long does Abhasra need to travel before they are 364.2 km apart?

Question

Ming left the White House and traveled
toward the capital at an average speed of
62.6 km/h. Abhasra left 0.6 hours later
and traveled in the opposite direction with
an average speed of 73.5 km/h. 

Answer 1

Distance = Rate x Time

 

Ming: 62.6 * x   (62.6 km/h for x hours)

Abhasra: 73.5 * (x-0.6)  (73.5 km/h for .6 hours less than x because he started .6 hours later)

 

So: 62.6x + (73.5 * (x-0.6)) =364.2

62.6x +73.5x - 44.1 = 364.2

 

combine like terms and move the 44.1 to the other side to get:

136.1x = 408.3

 

divide by 136.1:

 

x = 3 

 

It will take 3 hours