Question

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

Answer 1

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.

How to form equation and solve for the variable?

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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