Question 949070
A train traveled 90 miles in 1.5 hours. At the same rate how long will it take the train to travel 330 miles.

a. Use proportions to solve and show your work with units.

b. Solve using d=rt.

c. Did you get the same solution?
<pre>
<b><u>Proportion:</b></u>
{{{90/1.5 = 330/T}}}, with T being the amount of time
90T = 1.5(330) ------- Cross-multiplying
90T = 495
T, or time = {{{495/90}}}, or {{{t = 5&45/90}}}, or {{{highlight_green(t = 5&1/2)}}} hours

<b><u>Distance Formula</b></u>:
{{{d = rt}}}, or {{{r = d/t}}}
{{{r = 90/1.5}}}
r, or rate of speed = {{{60}}} mph

Time (t) taken to travel 330 miles, at a rate of 60 mph: {{{t = 330/60}}}, or {{{t = 5&30/60}}}, or {{{highlight_green(t = 5&1/2)}}} hours