Purchase Solution

Distance between runners

Not what you're looking for?

Ask Custom Question

Tony and Maria are training for a race by running all the way up and down a 700m long ski slope. They each run up the slope at different constant speeds. Coming down the slope, each runs at double his or her uphill speed. Maria reaches the top first, and immediately starts running back down, meeting Tony 70m from the top. When Maria reaches the bottom, how far behind is Tony?

(A)140m (B)250m (C)280m (D)300m (E)320m

Purchase this Solution

Solution Summary

This is a word problem regarding different speeds. The distances between two runners at a specific point in time are given.

Solution Preview

Let Maria's speed be x and 2x for uphill and downhill respectively
Let Tony's speed be y and 2y for uphill and downhill respectively

When they met (time taken was the same)
Time = distance/speed

700/x + 70/2x = 630/y
1470/2x = ...

Purchase this Solution


Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.