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antoniya [11.8K]
3 years ago
9

Olivia and Ray walk to school. Olivia walks 1 4of a mile to school. Her walk is 2 3of the distance that Ray walks to school. Wha

t is the total distance, in miles, that Ray walks to school?
Mathematics
1 answer:
forsale [732]3 years ago
8 0

Answer:

ray walks 3/8th of a mile

Step-by-step explanation:

1/4 multiplyed by 2/3 and you will get 3/8

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Alright here we go
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It takes Lucas 3 hours to cycle from his home to his friends village but if travels 5 mph slower, it will take him 1.5 hours lon
Alika [10]

The distance from friend's village to Lucas's house is 45 miles

Step-by-step explanation:

Lets assume the distance from Lucas home to friend's village is x miles

The time taken to cycle from Lucas home to friend's village is 3 hrs....t₁

The time taken if travelling at a 5 mph reduced speed is 1.5 hrs longer......t₂

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t₁= 3 hrs

Speed for cycle in first instance, where t₁=3 hrs and distance is x miles

s₁=d/t = x/3 mph

Speed for cycle if travelling at a slower speed,

s=\frac{x}{3}-5

Time taken in the second instance when travelling at a slower speed

=\frac{x}{\frac{x}{3}-5 }=4.5\\ \\\frac{3x}{x-15} =4.5\\\\\\3x=4.5(x-15)\\\\3x=4.5x-67.5\\\\\\67.5=4.5x-3x\\\\\\67.5=1.5x\\\\\\67.5/1.5=x\\\\\\45=x

The distance from friend's village to Lucas's house is 45 miles

Learn More

Formula for speed:brainly.com/question/13664094

Keywords: cycle,home, village, travels,slower,longer

#LearnwithBrainly

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