GMAT Word Problems and Strategy Chapter 8: Uniform Motion

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GMAT Word Problems Guide

		Ch 1: Word Problem Strategies

		Ch 2: 5-Step Method

		Ch 3: Functions & Symbols

		Ch 4: Progressions & Sequences

		Ch 5: Percentages

		Ch 6: Interest

		Ch 7: Ratio & Proportion

		Ch 8: Uniform Motion

		Ch 9: Work & Rate


		Ch 10: Grouping & Counting

		Ch 11: Data Interpretation

		Ch 12: Averages & Median

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The distance, D, that the object will travel in time, T, depends on the velocity, V. It is expressed mathematically as:

D = VT

NOTE: Units must match. If we desire the distance in miles, we usually express the velocity in miles per hour (mph) and time in hours. If the distance is in kilometers, then the velocity would usually be in kilometers per hour (kph).

Example (easy)

A biker travels 60 miles in 2.5 hours. Determine the biker's average speed.

Solution

The equation relating distance, velocity and time provides

60 = V(5/2)

Divide both sides by 5/2 to solve for V.

V = (60)2/5 = 24 miles/hour

Example

A car travels between two cities 400 miles apart in 7 hours. The return trip takes 9 hours. Find the average speed of the car.

Solution

The total distance is 2(400) = 800 miles. The total time is 7 + 9 = 16 hours. The average speed is found from D = VT:

800 = V(16)

V = 800/16 = 50 miles/hour

Example

A police officer, traveling at 100 miles per hour, pursues Philip, who has a 30 minute head start. The police officer overtakes Philip in two hours. Find Philip's speed.

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