Sia and Mira plan to meet each other at a coffee shop. They start off from
their homes located at A (1,0) and B (5,0) respectively. Sia suggested Mira
to cycle along the straight path represented by the equation x +y-5= 0 and
she would take the straight path given by the equation 3x - y=3, so that
they would meet at the coffee shop.
1) Why do you think Sia gave this suggestion? [2m]
ii) Find the location of the coffee shop.
[2m]
iii) Calculate the distance from their homes to the coffee shop.
[4m]
iv) On the way back home, they decide to cycle together a part of the
journey. Suggest the path so that each of them would travel the same
distance to reach their homes. [2m]
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Step-by-step explanation:
Sia and Mira plan to meet each other at a coffee shop. They start off from
their homes located at A (1,0) and B (5,0) respectively. Sia suggested Mira
to cycle along the straight path represented by the equation x +y-5= 0 and
she would take the straight path given by the equation 3x - y=3, so that
they would meet at the coffee shop.
1) Why do you think Sia gave this suggestion? [2m]
ii) Find the location of the coffee shop.
[2m]
iii) Calculate the distance from their homes to the coffee shop.
[4m]
iv) On the way back home, they decide to cycle together a part of the
journey. Suggest the path so that each of them would travel the same
distance to reach their homes. [2m]
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