SOLUTION: Elda walked from her home to her friend Niabi's house at 4.5 km/hr. When Elda returned home along the same route, she strolled at 3.5 km/hr. Elda took a total of 40 min to walk to

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Question 594029: Elda walked from her home to her friend Niabi's house at 4.5 km/hr. When Elda returned home along the same route, she strolled at 3.5 km/hr. Elda took a total of 40 min to walk to Niabi's house and back again.
a) How many minutes did Elda take to walk from her home to Niabi's house?
b) How far is it from Elda's home to Niabi's house?

Answer by Alan3354(69443) About Me  (Show Source):
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Elda walked from her home to her friend Niabi's house at 4.5 km/hr. When Elda returned home along the same route, she strolled at 3.5 km/hr. Elda took a total of 40 min to walk to Niabi's house and back again.
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Avg speed for the round trip = 2*4.5*3.5/(4.5 + 3.5)
= 31.5/8 km/hr
RT distance = r*t = 31.5/8 * (2/3) hr = 21/8 km
--> 21/16 km each way.
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a) How many minutes did Elda take to walk from her home to Niabi's house?
t = d/r = (21/16)/4.5 = 21/72 hours
= 7/24 hours
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b) How far is it from Elda's home to Niabi's house?
--> 21/16 km each way.