Solve d = rt for t

Step by step

The question

Question: solve for t in d = rt.

We treat the other letters like numbers.

1 t on the left

t is on the right.

We swap the two sides, so t is on the left.

They are still equal.

2 Remove the r

rt means r times t.

We want just t.

To remove times r, we divide by r.

We do it on both sides.

r divided by r is 1.

So just t is left.

So t = d over r.

3 Check

Let's check with numbers.

We pick d = 4, r = 2.

Our answer gives t = 2.

Now we put all the numbers into the start.

First the left side.

Now the right side.

Both sides are 4.

So our answer is right!

Let's look back.

First: t on the left.

Then: remove the r.

Last: check.