MathAdmin: Created page with " Set up, but do not solve the following word problem. Two private airplanes travel toward each other from cities that are 780 km apart at speeds of 190 km/h..."

2015-06-01T05:49:26Z

Created page with "<span class="exam"> Set up, but do not solve the following word problem. Two private airplanes travel toward each other from cities that are 780 km apart at speeds of 190 km/h..."

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<span class="exam"> Set up, but do not solve the following word problem. Two private airplanes travel toward each other from cities that are 780 km apart at speeds of 190 km/hr and 200 km/hr. They left at the same time. In how many hours will they meet?
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Foundations
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|What is the formula for distance?
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|Answer:
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|The formula for distance is d=rt where r is the rate and t is the time.
|}

Solution:

{| class = "mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 1:
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|The distance formula for the plane traveling 190km/hr is <math> 190t=d</math>.
|}

{|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 2:
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|The other plane starts off 780km away from the first plane. So, this plane's distance is 780-d where d is the distance of the first plane.
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|So, the distance formula for this second plane is <math>200t=780-d</math>.
|}

{|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 3:
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|Now, adding these two equations together, we get <math> 390t=780</math>. So, <math>t=2</math> hours.
|}

{|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
! Final Answer:
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|2 hours
|}

[[004 Sample Final A|<u>'''Return to Sample Exam</u>''']]

004 Sample Final A, Problem 12 - Revision history

MathAdmin: Created page with " Set up, but do not solve the following word problem. Two private airplanes travel toward each other from cities that are 780 km apart at speeds of 190 km/h..."