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A boat can travel 40 mph in still water. If it t
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”. We’ll call this equation (i) for reference purposes. </p> <p>Speed of boat alone = 40 mph </p> <p>Let speed of current= c </p> <p>Let time= t </p> <p>When boat travels with the current, the speed of the current pushes boat along therefore, </p> <p>Total speed of boat= speed of boat alone + spXXX of XXXXXXX= ( XX+c ) </p> <p>Putting XXXX XXXXX in equation (i), </p> <p>(40+c) × t = XXX </p> <p>Multiplying out XXX XXXXXXXX </p> <p>XXX + XX= XXX (XX’ll call this XXXXXXXX ii) </p> <p>XXXX XXXX travels against XXX XXXXXXX, the speed XX XXX current pulls boat back therefore, </p> <p>Total speed XX XXXX= XXXXX XX boat XXXXX<img width="XX" height="19" XXX="XXXX:///C:/XXXXX/XXXXX/XXXXXXX/XXXXX/Temp/msohtmlclip1/01/XXXXXXXXXXXXX.png" v:shapes="_x0000_i1025">speed XX current= (XX<XXX width="XX" XXXXXX="19" src="XXXX:///C:/Users/XXXXX/XXXXXXX/Local/Temp/msohtmlclip1/01/clip_image004.XXX" v:XXXXXX="XXXXXXXXXXXX">c) </p> <p>Again, putting this XXXXX in XXXXXXXX (i), </p> <p>(XX<XXX width="11" XXXXXX="19" src="file:///C:/Users/XXXXX/XXXXXXX/XXXXX/XXXX/msohtmlclip1/01/XXXXXXXXXXXXX.XXX" v:XXXXXX="_x0000_i1025">c ) × t = XXX </p> <p>XXXXXXXXXXX out the brackets </p> <p>XXX<img width="67" height="19" XXX="XXXX:///X:/XXXXX/ARESE/XXXXXXX/XXXXX/XXXX/msohtmlclip1/XX/clip_image006.XXX" v:XXXXXX="_x0000_i1025">(XX’ll XXXX this equation iii) </p> <p>Comparing XXXXXXXXX XX XXX iii </p> <p>XXX + XX= 126 </p> <p>XXX<img width="XX" height="XX" src="file:///C:/Users/XXXXX/XXXXXXX/XXXXX/XXXX/XXXXXXXXXXXX/01/XXXXXXXXXXXXX.png" v:shapes="XXXXXXXXXXXX"> </p> <p>Solving XXXXX as simultaneous equations, XX XXX XXX XXX of the XXXX ‘ct’ XX adding both equations XX and iii. This XXXXX: </p> <p> 40t + ct= XXX </p> <p>+ XXX<XXX width="XX" height="XX" XXX="XXXX:///X:/XXXXX/XXXXX/AppData/Local/XXXX/XXXXXXXXXXXX/XX/XXXXXXXXXXXXX.XXX" v:XXXXXX="XXXXXXXXXXXX"> </p> <p><img width="121" height="X" XXX="XXXX:///C:/Users/XXXXX/AppData/Local/Temp/XXXXXXXXXXXX/01/clip_image007.png" v:XXXXXX="Straight_x0020_Connector_x0020_1"> <XX> </p> <p> 80t = XXX </p> <p>t= <img width="19" height="XX" src="XXXX:///C:/XXXXX/ARESE/XXXXXXX/Local/XXXX/msohtmlclip1/XX/clip_image009.png" v:XXXXXX="XXXXXXXXXXXX"> </p> <p>t=X XXXXX </p> <p>XXXXXXXXXX or put ‘t=X hours’ in equation ii </p> <p>(XX+c)<img width="65" XXXXXX="19" XXX="XXXX:///X:/Users/ARESE/XXXXXXX/XXXXX/XXXX/XXXXXXXXXXXX/01/clip_image011.png" v:shapes="_x0000_i1025"> </p> <p>120+ 3c= 126 </p> <p>XX= 126-XXX </p> <p>XX= 6 </p> <p>X=<img width="6" XXXXXX="XX" XXX="file:///C:/XXXXX/ARESE/AppData/XXXXX/XXXX/msohtmlclip1/XX/XXXXXXXXXXXXX.png" v:shapes="XXXXXXXXXXXX"> </p> <p>C=2 mph </p> <p><XXX width="56" XXXXXX="X" XXX="XXXX:///X:/XXXXX/ARESE/AppData/XXXXX/XXXX/XXXXXXXXXXXX/01/clip_image014.XXX" v:XXXXXX="Straight_x0020_Connector_x0020_3"><XXX width="56" XXXXXX="X" XXX="file:///C:/Users/XXXXX/XXXXXXX/Local/Temp/msohtmlclip1/01/clip_image014.png" v:shapes="Straight_x0020_Connector_x0020_2">Speed XX XXXXXXX= XXXX </p> <p> </p>">
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