Word problem d=rt, find average speed

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SUMMARY

The problem involves calculating Tom's average speed given that he skates 24 miles and takes 2 hours longer than Jake, who skates at a speed of 1 mile per hour faster. The equation d=rt is used, where d is distance, r is rate, and t is time. By setting Jake's speed as x+1 mph and Tom's speed as x mph, the relationship between their times can be established. The final equation to solve for Tom's average speed is derived from the time difference of 2 hours.

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bcahmel
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Homework Statement



Jake is 1 mile per hour faster on his skateboard than Tom. Both skate 24 miles one day from the park to the mall. Tom took 2 hours longer than Jake. What was Tom's average speed?

Homework Equations


d=rt


The Attempt at a Solution


So I set up a table w/ d=24, rate for Jake x+1 and rate for Tom equal to x. and then for time I know Tom took 2 hours...but I can't seem to piece all this information into an equation that works! Any help would be great.
 
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bcahmel said:

Homework Statement



Jake is 1 mile per hour faster on his skateboard than Tom. Both skate 24 miles one day from the park to the mall. Tom took 2 hours longer than Jake. What was Tom's average speed?

Homework Equations


d=rt


The Attempt at a Solution


So I set up a table w/ d=24, rate for Jake x+1 and rate for Tom equal to x. and then for time I know Tom took 2 hours...but I can't seem to piece all this information into an equation that works! Any help would be great.
What expression represents Jake's time? Tom's time? What can you do to make an equation, given that Tom's time was 2 hours longer than Jake's time.

BTW, that's a long way to go on a skateboard...
 

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