a bicyclist covered 5/7 of his route and an additional 40 miles. he has yet to cover 118 miles less than 0.75 of his route. how

Question

Tomtit [17]

2 years ago

13

a bicyclist covered 5/7 of his route and an additional 40 miles. he has yet to cover 118 miles less than 0.75 of his route. how

long is his route

Mathematics

1 answer:

Oduvanchick [21] · Answer 1 · 2022-11-09T12:39:40+03:00

The length of the route of a bicylist that has covered 5/7 of his route and an additional 40 miles and yet to cover 118 miles less than 0.75 of his route is 168 miles.

<h3>How to form equation and solve for the variable?</h3>

The bicyclist covered 5 / 7 of his route and an addditional 40 miles.

Let

x = distance of his route in miles

Hence,

distance covered = 5 / 7 x + 40

He has yet to cover 118 miles less than 0.75 of his route. Therefore,

distance not covered = 0.75x - 118

Distance of his route = 5 / 7 x + 40 + 0.75x - 118

x = 5 / 7 x + 40 + 0.75x - 118

x = 1.464x - 78

x - 1.464x = -78

-0.464x = -78

x = 78 / 0.464

x = 168.103448276

x = 168 miles

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