Question

Two trucks started toward each other at the same time from towns 500 km apart. One truck traveled at a rate of 65 km per hour while the other traveled at 60 km per hour. After how many hours did they meet?

If x represents the number of hours, which of the following equations could be used to solve the problem?


A. 65x = 60x
B. 65x - 60x = 500
C. 65x + 60x = 500

Answer 1

The answer would be \[65x+10x=500\]
The way I explain it is, you can think of one
of the trucks as standing still and the other


one approaching at the sum of their speeds
That gives you \[{65+60}\times x =500\]
for the moving truck. Now convert it to
\[65x+10x=500\]