Malik's flight to Phoenix departs at 7:15 P.M. It takes 30 minutes to drive to the airport from his home, and it is recommended that he arrive at the airport 2 hours prior to departure. What time should Malik leave his house?

1 Answer
Apr 12, 2016

#4:45# P.M.

Explanation:

#1#. If Malik needs #30# minutes to drive to the airport from his home and needs to be at the airport #2# hours prior to departure, then start by calculating the total amount of time he needs to get ready for departure.

#2color(white)(i)"hours"+30color(white)(i)"minutes"#

#=2:30#

#2#. Subtract #color(blue)2:color(darkorange)30# from #color(red)7:color(teal)15#. Start by subtracting the hours first.

#color(red)7color(white)(i)"hours"-color(blue)2color(white)(i)"hours"#

#=color(brown)(5color(white)(i)"hours")#

#3#. Subtract the minutes.

#color(teal)15color(white)(i)"minutes"-color(darkorange)30color(white)(i)"minutes"#

#=color(violet)(-15color(white)(i)"minutes")#

#4#. Since #-15color(white)(i)"minutes"# is negative, this means #15# minutes is subtracted from #5color(white)(i)"hours"#. Thus, subtact #15color(white)(i)"minutes"# from #5color(white)(i)"hours"#.

#color(brown)(5color(white)(i)"hours")# #color(violet)(-15color(white)(i)"minutes")#

#=color(green)(|bar(ul(color(white)(a/a)4:45color(white)(a/a)|)))#

#:.#, Malik should leave his house at #4:45# P.M.