Question 1145615
Cyclist:
d = rt = 15(6 + x) = 90 + 15x
r = 15
t = 6 + x
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Wife:
d = rt = 45x
r = 45
t = x
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Distance (cyclist) = Distance (wife)
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90 + 15x = 45x
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90 = 30x
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x = 3
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<b>It will take the wife 3 hours (from when she leaves in her car) to catch the cyclist.</b>(This will be nine hours after the cyclist initially set out on his trip.)