Question

A turist the distance between 2 cities which is 60 km made it on 2 days.The second day he made 5/7 of the road in the first day.Find the distance he walked on each day.

Answer 1

Answer: Day 1 = 35 km ; Day 2 = 25 km

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Define x
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Let x be the distance the tourist walked on the first day


`\text {First day = } x`


`\text {Second day = } (5)/(7) x`

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Form equation and solve x
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Total distance = 60km


`x + (5)/(7)x = 60 \ km`


`(12x)/(7) = 60 \ km`


`12x = 60 * 7`


`12x = 420`


`x = 35`

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Find distance he walked on each day
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Day 1 = x = 35km

Day 2 = 5/7(35) = 25 km

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Answer: Day 1 = 35 km ; Day 2 = 25 km
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Answer 2

`(5)/(7) x + x \\ = (5 + 7)/(7) \\ = (12)/(7) x \\ 60 = (12)/(7) x \\ x = 5 * 7 = 35`
The second day he made

`(5)/(7) * 35 \\ = \: 25 \: km`
the first day is 35 km