Step 1: Pick a friend or family member to be the character of your word problem. This friend or family member may do one of the following: Drive a boat Drive a jet ski Step 2: Select a current speed of the water in mph. Step 3: Select the number of hours (be reasonable please) that your friend or family member drove the boat or jets ski against the current speed you chose in step 2. Step 4: Select the number of hours that your friend or family member made the same trip with the current (this should be a smaller number, as your friend or family member will be traveling wi
Step 5: Write out the word problem you created and calculate how fast your friend or family member was traveling in still water. Round your answer to the nearest mph.
good lord
I know but i am not good with coming up with word problems
lets make it easier make the current speed 10 mph george boats against the current for 3 hours and with the current for two hours
alright
now we want the speed of the boat in still water. lets call this rate R, so rate with current is R+10 and rate against current is R- 10 since distance equals rate times time, and we know the distance there and back are the same, we can write \[D=(r+10)\times 2=(r-10)\times 3\] and solve for rate
\[2r+20=3r-30\] \[20=r-30\] \[r=50\] nice and easy
that's the answer ?
answer is rate in still water is 50 mph so rate with the current was 60 mph and against the current was 40 mph
we can even find the distance traveled if you like since \[D=RT\] we should have \[D=2\times 60=120\] and also \[D=3\times 40 =120\] so we have checked the answer and it works
Thank You so much!
Join our real-time social learning platform and learn together with your friends!