Question 118588
12. This is a ratio problem
{{{a/b = c/d}}}
In this problem, {{{1.5/45 = 5/x}}}
multiply both sides by {{{45x}}}
{{{1.5x = 5*45}}}
{{{x = 225/1.5}}}
{{{x = 150}}}mi answer
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13. This is another ratio problem
{{{7/42 = x/2682}}}
{{{1/6 = x/2682}}}
multiply both sides by 6
{{{1 = x/447}}}
{{{x = 447}}}defective answer
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14. Also a ratio
{{{30/.75 = x/6}}}
multiply both sides by {{{.75*6}}}
{{{30*6 = .75x}}}
{{{x = 180 / .75}}}
{{{x = 240}}}minutes which is the same as
{{{240/60 = 4}}}hours answer
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15. This can be thought of as a ratio, or use the formula
{{{d = r*t}}} I'll use the formula
{{{t = 11}}}hrs
{{{r = 264/6}}}mi/hr
{{{d = 11*(264/6)}}}
{{{d = 11*44}}}
{{{d = 484}}}mi answer
You could have come up with a ballpark number just by saying
"11 hours is almost twice 6 hours. The train would travel
almost twice as far, or just under 528 mi."