Question

when solving applied problems involving distance, rate, and time, which of the following is not correct? choose the incorrect equation. a. $r = dt$ b. $\frac{d}{r}=t$ c. $d = rt$ d. $\frac{d}{t}=r$

Explanation:

Step1: Recall core distance formula

The standard distance-rate-time formula is $d = rt$, where $d$ = distance, $r$ = rate, $t$ = time.

Step2: Verify Option A

Rearrange $d=rt$ to solve for $r$: divide both sides by $t$, getting $r=\frac{d}{t}$. Option A states $r=dt$, which does not match.

Step3: Verify other options

• Option B: Rearrange $d=rt$ to solve for $t$: $t=\frac{d}{r}$, which matches.
• Option C: This is the original standard formula $d=rt$, which is correct.
• Option D: Rearrange $d=rt$ to solve for $r$: $r=\frac{d}{t}$, which matches.

Answer:

A. $r=dt$