Question #a2b1c

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Question #a2b1c

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Answer 1 · 2016-04-20T11:18:19

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

Explanation:

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

Period 1
Car travels $1000 m$ $1000" m"$ at $\frac{25 m}{sec}$ $(25" m")/"sec"$

Time taken:
$XXX 1000 m \times \frac{sec}{25 m} = 40 sec.$ $color(white)("XXX")1000" m"xx"sec"/(25" m") = 40 " sec."$

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

Period 3
Car travels $1700 m a t \frac{10 m}{sec}$ $1700" m" at (10" m")/"sec"$

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

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Question #a2b1c

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