   Chapter 4.7, Problem 46PS

Chapter
Section
Textbook Problem

Set up an equation and solve each of the following problems (Objective 3).Suppose that Wendy rides her bicycle 30 miles in the same time that it takes Kim to ride her bicycle 20 miles. If Wendy rides 5 miles per hour faster then kim, find the rate of each.

To determine

To Find:

The rate of each person.

Explanation

Concept:

For the uniform motion the rate or speed can be expressed as.

s=dt

Here, the travelled distance is d and rate is s and total travel time is t.

For the same travel time of two different vehicles, the ratio of corresponding distance to their rates should be equal.

Calculation:

The travel time taken by Kim can be expressed as,

t=d1s1..............(1)

Here, distance travelled by the Kim is d1, rate of the Kim is s1.

Substitute the 20miles for d1 and s for s1 in equation (1).

t=(20miles)s..............(2)

The time taken by the Wendy can be expressed as,

t=d2s2..............(3)

Here, distance travelled by the Wendy is d2, rate of the Wendy is s2.

As, mention in problem the rate of Wendy is 5mileshour faster than Kim, so the rate of Wendy become s+(4mileshour).

Substitute the (30miles) for d1 and s+(5mileshour) for s2 in equation (3).

t=(30miles)s+(5mileshour)..............(4)

For the same travel time, equate the equation (2) and (4)

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