Question #a2b1c

1 Answer
Apr 20, 2016

Answer:

a) The girl will arrive before curtain time.
b)enter image source here

Explanation:

Total distance to be traveled:
#color(white)("XXX")1000 m + 1700 m = 2700 m#
Time until curtain opens:
#color(white)("XXX")8" min" = 480" sec."#

Period 1
Car travels #1000" m"# at #(25" m")/"sec"#

Time taken:
#color(white)("XXX")1000" m"xx"sec"/(25" m") = 40 " sec."#

Period 2
Car waits at traffic light for #1.5" min" = 90" sec."#
(Total time: #40+90=130 " sec."#)
(Distance traveled this period: #0#)
(Total distance traveled: #1000" m"#)

Period 3
Car travels #1700" m" at (10" m")/"sec"#

Time taken:
#color(white)("XXX")1700" m"xx"sec"/(10" m")=170 " sec."#
(Total time: #40+90+170 = 300 " sec"#)
(Distance traveled this period: #1700" m"#)
(Total distance traveled: #1000 + 1700 = 2700" m"#)