Q:

ModeUse the formula d = rt. Find t for r = 49.5 m/h and d = 504.9 m.

Accepted Solution

A:
Answer:t = 10.5 hStep-by-step explanation:[tex]\bold{METHOD\ 1:}\\\\\text{Solve the equation}\ d=rt\ \text{for}\ t:\\\\rt=d\qquad\text{divide both sides by}\ r\neq0\\\\t=\dfrac{d}{r}\\\\\text{Substitute the values of}\ r=49.5\ \dfrac{m}{h}\ \text{and}\ d=504.9\ m:\\\\t=\dfrac{504.9\ m}{49.5\ \frac{m}{h}}=\dfrac{504.9}{49.5}\ m\!\!\!\!\!\diagup\cdot\dfrac{h}{m\!\!\!\!\!\diagup}=10.2\ h[/tex][tex]\bold{METHOD\ 2:}\\\\\text{Substitute the values of}\ r=49.5\ \dfrac{m}{h}\ \text{and}\ d=504.9\ m\ \text{to the formula}\ d=rt:\\\\504.9\ m=49.5\ \dfrac{m}{h}\cdot t\\\\\text{solve for}\ t:\\\\49.5\ \dfrac{m}{h}\cdot t=504.9\ m\qquad\text{divide both sides by}\ 49.5\ \dfrac{m}{h}\\\\t=504.9\ m:\left(49.5\ \dfrac{m}{h}\right)\\\\t=\dfrac{504.9}{49.5}\ m\!\!\!\!\!\diagup\cdot\dfrac{h}{m\!\!\!\!\!\diagup}\\\\t=10.2\ h[/tex]