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MATH / Five runners together complete a 100-mile endurance race by running separate, non-overlapping portions of the course. Runner B's portion is 1.5 times the length of Runner A's porti…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Five runners together complete a 100100-mile endurance race by running separate, non-overlapping portions of the course. Runner B's portion is 1.51.5 times the length of Runner A's portion. The combined portion for Runners C and D is twice the length of the combined portion for Runners A and B. Runner E then runs the last 1010 miles of the race. How many miles did Runner B run?
Plain-text mathematical notation (without MathML)
Five runners together complete a 100-mile endurance race by running separate, non-overlapping portions of the course.  Runner B's portion is 1.5 times the length of Runner A's portion.  The combined portion for Runners C and D is twice the length of the combined portion for Runners A and B.  Runner E then runs the last 10 miles of the race.  How many miles did Runner B run?
Original LaTeX notation
Five runners together complete a $100$-mile endurance race by running separate, non-overlapping portions of the course.  Runner B's portion is $1.5$ times the length of Runner A's portion.  The combined portion for Runners C and D is twice the length of the combined portion for Runners A and B.  Runner E then runs the last $10$ miles of the race.  How many miles did Runner B run?

level

Level 4

type

Algebra

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Source and history

Official source

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