A consultant traveled 7 hours to attend a meeting. The return trip took only 6 hours because the speed was 10 miles per hour faster. What was the consultant's speed each way?

Question

A consultant traveled 7 hours to attend a meeting. The return trip took only 6 hours because the speed was 10 miles per hour faster. What was the consultant's speed each way?

I am trying to use the formula
d=r*t
how can i get the speed with out the distance

Let r be his speed going.

The distances are the same.
r7=(r+10)6

solve for.

Answer 1

To find the consultant's speed, we can use the formula for distance:

Distance = Speed * Time

Since the distance is the same both ways, we can set up an equation using this formula for each part of the trip:

(r * 7) = (r + 10) * 6

Here, r represents the speed of the consultant going to the meeting, and (r + 10) represents the speed on the return trip (which is 10 miles per hour faster).

Now, let's solve the equation to find the value of r.

Expanding the equation:

7r = 6(r + 10)

Now, distribute the 6:

7r = 6r + 60

Next, subtract 6r from both sides of the equation:

r = 60

Therefore, the consultant's speed going to the meeting was 60 miles per hour.