Question

Mark and Jess are traveling in a straight line but in opposite directions. Mark is driving an average of 20hr faster than Jess. After three hours, they are 270km apart. How fast was each driving?

Answer 1

Mark was driving at a speed of 55 km/h and Jess was driving at a speed of 35 km/h.

Step-by-step explanation:

Let's set up equations to represent the problem:

Let M be Mark's speed and J be Jess's speed.

After 3 hours, they are 270 km apart. This means that the distance Mark has traveled is 3(M+20) km and the distance Jess has traveled is 3J km.

So we have the equation: 3(M+20) + 3J = 270

Since Mark is driving 20 km/h faster than Jess, we can set up another equation: M = J + 20

Substitute the second equation into the first equation to solve for J:

3(J+20) + 3J = 270

6J + 60 = 270

6J = 210

J = 35 km/h

Substitute the value of J back into the second equation to solve for M:

M = 35 + 20

M = 55 km/h

Therefore, Mark was driving at a speed of 55 km/h and Jess was driving at a speed of 35 km/h.