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Question

While traveling from her home to school, Ashley walks one-fourth of the way, cycles for two-fifths and travels 3.85 miles by car.

What is the total distance between her home and school?

A
8 mi
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B
9 mi
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C
10 mi
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D
11 mi
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Solution

The correct option is D 11 mi
Let the distance between his home and school be x mi.

Distance he covers by walking = 14x
Distance he covers by cycling = 25x
Distance traveled by car = 3.85 mi

Total distance = Distance covered by walk + Distance covered by cycle + Distance covered by car

x = 14x + 25x + 3.85

x - 0.25x - 0.4x = 3.85

0.35x = 3.85

x = 11

Therefore, the total distance between her home and school is 11 mi.

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