Question 937831
d = max exploration distance from spacecraft
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s = d/t
t = d/s
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time needed to drive from spacecraft to distance d
t = d/s
a = d/10
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time needed to walk from distance d to spacecraft
t = d/s
b = d/2.5
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assume they leave the spacecraft and drive in a straight line to distance d, and upon reaching distance d the rover breaks and they immediately walk back to the spacecraft:
a + b = 8
d/10 + d/2.5 = 8
2.5d + 10d = 8*(2.5*10)
d = 8*(2.5*10)/12.5
d = 16
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answer:
d = 16 miles
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if they do anything other than drive straight to d, the above calculation is wrong. for example, if they get off the rover to collect rocks, and then drive 16 miles away from the spacecraft, and the rover breaks, they will die!
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