Question

Two runners start 30 kilometers apart and run toward each other. They meet after 3 hours. One runner runs 2 kilometers per hour faster than the other runner. What rate do they run?

Answer 1

@Cpt.Sparz

Answer 2

your asked to find rate, so that's going to be your unknown:

let x be the first, slower speed, and
x+2 be the second faster speed.

each of these rates run for 3 hrs should total 30 kms, so we have

\[\large D_{Total}=D_{slow}+D_{fast}\]

\[\large 30kms=[Rate_{slow}*time]+[Rate_{fast}*time]\]

\[\large 30[kms] = x*3[hrs]+(x+2)*3[hrs]\]


solve for x and the units should give you km/hr

Answer 3

Mathmuse is correct...

Answer 4

For these questions, distances can be added directly. Rates of speed cannot be added correctly so you usually have generate a formula with distance and break it into components as per the distance/speed/time relationship:

Answer 5

But if you want the answer here:
The sum of their speeds is (30 km)/(3 hr) = 10 kph.
The difference of their speeds is 2 kph (from the problem statement).

This has solutions like any other "sum and difference" problem.
The faster runner is running (10 + 2)/2 = 6 kph.
The slower runner is running (10 - 2)/2 = 4 kph.

Answer 6

I THINK THIS IS MY ANWERS 4 km/hr and 6 km/hr

Answer 7

instead of km use kph so 4 kph/hr and 6 kph/hr

Answer 8

kph=kilometers per hour

Answer 9

YES

Answer 10

IS CORRECT MY ANSWER

Answer 11

yes your answer is right!