# Thread: Word problems: boat (upstream, downstream), bike (slow, fast)

1. ## Word problems: boat (upstream, downstream), bike (slow, fast)

22. Paddle Boat You paddle boat 8 miles upstream(against the current) and 8 miles downstream(with the current). The speed of the current is 1 mile per hour.
a. Write an equation that gives the total travel time t (in hours) as a function of your average speed r(in miles per hour) in still water.
b. Find your total travel time if your average speed in still water is 3 miles per hour.
c. How much faster is your total travel time if you increased your average speed in still water to 3.5 miles per hour? Round your answer to the nearest tenth.

23 Bike ride You bike 50 miles from home. On your way back home, your average speed increases by 3 miles per hour.
a. Write an equation that gives total biking time t(in hours) as a function of your average speed r(in miles per hour) when you are biking away from home
b. Find the total biking time if your bike away from your home at an average speed of 15 miles per hour. Round your answer to the nearest tenth.
c. How much longer is your total biking time if your bike from your home at an average speed of 12 miles per hour?

2. Those are very nice word problems you've been assigned as homework. So tell us, what are your thoughts? What have you tried? Please re-read the Read Before Posting thread that's stickied at the top of each subforum and comply with the rules. Please share with us any and all work you've done on these problems, even the parts you know for sure are wrong. Thank you.

3. Originally Posted by happiness
22. Paddle Boat You paddle boat 8 miles upstream(against the current) and 8 miles downstream(with the current). The speed of the current is 1 mile per hour.
a. Write an equation that gives the total travel time t (in hours) as a function of your average speed r(in miles per hour) in still water.
b. Find your total travel time if your average speed in still water is 3 miles per hour.
c. How much faster is your total travel time if you increased your average speed in still water to 3.5 miles per hour? Round your answer to the nearest tenth.

23 Bike ride You bike 50 miles from home. On your way back home, your average speed increases by 3 miles per hour.
a. Write an equation that gives total biking time t(in hours) as a function of your average speed r(in miles per hour) when you are biking away from home
b. Find the total biking time if your bike away from your home at an average speed of 15 miles per hour. Round your answer to the nearest tenth.
c. How much longer is your total biking time if your bike from your home at an average speed of 12 miles per hour?
To learn how to set up and solve "distance" type word problems, try here.

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