Question

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

Answer 1

t = 10.5 h

Explanation:

`\bold{METHOD\ 1:}\\\\\text{Solve the equation}\ d=rt\ \text{for}\ t:\\\\rt=d\qquad\text{divide both sides by}\ r\\eq0\\\\t=(d)/(r)\\\\\text{Substitute the values of}\ r=49.5\ (m)/(h)\ \text{and}\ d=504.9\ m:\\\\t=(504.9\ m)/(49.5\ (m)/(h))=(504.9)/(49.5)\ m\!\!\!\!\!\diagup\cdot(h)/(m\!\!\!\!\!\diagup)=10.2\ h`

`\bold{METHOD\ 2:}\\\\\text{Substitute the values of}\ r=49.5\ (m)/(h)\ \text{and}\ d=504.9\ m\ \text{to the formula}\ d=rt:\\\\504.9\ m=49.5\ (m)/(h)\cdot t\\\\\text{solve for}\ t:\\\\49.5\ (m)/(h)\cdot t=504.9\ m\qquad\text{divide both sides by}\ 49.5\ (m)/(h)\\\\t=504.9\ m:\left(49.5\ (m)/(h)\right)\\\\t=(504.9)/(49.5)\ m\!\!\!\!\!\diagup\cdot(h)/(m\!\!\!\!\!\diagup)\\\\t=10.2\ h`