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Ratios and Proportions Word Problems

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The speed of a freight train is 15ph slower that the speed of a passenger train. The freight train travels 390 mi in the same time that it takes the passenger train to travel 480 mi. Find the speed of each train.

It takes 60 oz of grass seed to seed 3000ft^2 of lawn. At the rate how much would be needed to seed 5000ft^2 of lawn?

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The speed of the freight train: x
the speed of the passenger train is therefore x+15

The time it takes an object traveling with speed v to travel distance D is:

t = D/v

Hence the time it ...

Solution Summary

Ratio and proportion word problems are solved.

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Ratios and Proportions Word Problems

1. A lawyer bills her clients $250 per hour of service. If a client's case requires 47 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).

2. A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a manager to estimate the impact. The administrator samples 12 of the PCs connected to the LAN, and finds that 7 are infected; use proportion to estimate the number of infected PCs if there are a total of 117 PCs connected to the LAN.

3. An administrator of a popular web site is told that a new server can handle 11,000 "hits" (users accessing the site) per second. The web site currently experiences a peak demand of about 85,000 hits per second; but every month, the peak demand increases by 3500 hits per second. Use a proportion equation to determine how many new servers the administrator should buy to address expected traffic for the next 18 months.

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