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The fundamental formula for such problems is

where d represents the distance covered when moving at a speed s during a length of time t.

This formula can be solved for s or t
(if d is in miles and t is in hours, then s has the units of miles/hour)

Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour (1/2 hr) longer tan Smith's.
- Write an expression for Jones' speed in terms of Smith's speed
- Write an expression for Smith's speed
- Write an expression for the time it takes Smith to travel 45 miles
- Write an expression for the time it takes Jones to travel 75 miles
- Write an expression for Jones' time in terms of Smith's time
- Write an equation for Jones' time in terms of Smith's time

Question also in attachment

Solution Preview

In the attachment, the formula is not given. This formula should be
d=st, where d is the distance, s is the speed and t is ...

Solution Summary

This shows how to write expressions for a given uniform motion problem.

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