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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 + speed XX current= ( 40+c ) </p> <p>XXXXXXX XXXX speed in XXXXXXXX (i), </p> <p>(XX+c) × t = 126 </p> <p>Multiplying out the brackets </p> <p>40t + XX= XXX (we’ll XXXX XXXX equation ii) </p> <p>XXXX boat XXXXXXX XXXXXXX XXX current, XXX XXXXX XX XXX XXXXXXX XXXXX boat XXXX therefore, </p> <p>Total XXXXX XX XXXX= XXXXX of boat alone<XXX width="11" height="XX" XXX="XXXX:///C:/XXXXX/ARESE/XXXXXXX/Local/Temp/msohtmlclip1/XX/clip_image004.XXX" v:XXXXXX="XXXXXXXXXXXX">speed XX current= (40<img width="11" height="19" src="file:///C:/XXXXX/XXXXX/XXXXXXX/XXXXX/Temp/XXXXXXXXXXXX/XX/clip_image004.XXX" v:XXXXXX="XXXXXXXXXXXX">c) </p> <p>XXXXX, putting this speed in XXXXXXXX (i), </p> <p>(XX<img width="11" height="XX" XXX="XXXX:///X:/XXXXX/ARESE/XXXXXXX/Local/XXXX/msohtmlclip1/01/clip_image004.png" v:shapes="_x0000_i1025">c ) × t = 126 </p> <p>Multiplying out XXX brackets </p> <p>40t<XXX width="XX" XXXXXX="19" XXX="file:///X:/XXXXX/ARESE/AppData/XXXXX/XXXX/msohtmlclip1/01/XXXXXXXXXXXXX.png" v:XXXXXX="_x0000_i1025">(we’ll XXXX this XXXXXXXX XXX) </p> <p>XXXXXXXXX XXXXXXXXX XX and iii </p> <p>40t + XX= XXX </p> <p>40t<img width="XX" height="19" XXX="file:///C:/Users/XXXXX/XXXXXXX/Local/XXXX/msohtmlclip1/XX/clip_image006.png" v:shapes="_x0000_i1025"> </p> <p>Solving XXXXX XX simultaneous XXXXXXXXX, we can get XXX XX XXX term ‘XX’ XX adding XXXX equations XX and XXX. This gives: </p> <p> XXX + ct= XXX </p> <p>+ XXX<img width="67" height="19" src="XXXX:///C:/Users/XXXXX/XXXXXXX/XXXXX/Temp/XXXXXXXXXXXX/XX/clip_image006.XXX" v:XXXXXX="_x0000_i1025"> </p> <p><XXX width="XXX" height="2" src="XXXX:///X:/Users/ARESE/XXXXXXX/XXXXX/Temp/XXXXXXXXXXXX/XX/clip_image007.png" v:XXXXXX="Straight_x0020_Connector_x0020_1"> <XX> </p> <p> XXX = 240 </p> <p>t= <img width="XX" XXXXXX="26" XXX="XXXX:///X:/XXXXX/ARESE/XXXXXXX/XXXXX/XXXX/XXXXXXXXXXXX/XX/clip_image009.XXX" v:XXXXXX="XXXXXXXXXXXX"> </p> <p>t=3 XXXXX </p> <p>Substitute or put ‘t=X hours’ in equation ii </p> <p>(XX+c)<img width="XX" XXXXXX="XX" src="XXXX:///X:/XXXXX/ARESE/AppData/XXXXX/Temp/XXXXXXXXXXXX/01/XXXXXXXXXXXXX.png" v:shapes="_x0000_i1025"> </p> <p>XXX+ 3c= 126 </p> <p>XX= 126-XXX </p> <p>3c= X </p> <p>X=<XXX width="6" height="XX" XXX="file:///X:/XXXXX/XXXXX/XXXXXXX/XXXXX/Temp/msohtmlclip1/01/XXXXXXXXXXXXX.png" v:XXXXXX="XXXXXXXXXXXX"> </p> <p>X=X mph </p> <p><XXX width="XX" XXXXXX="2" XXX="XXXX:///X:/XXXXX/ARESE/XXXXXXX/XXXXX/Temp/msohtmlclip1/01/XXXXXXXXXXXXX.png" v:shapes="XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX"><img width="56" height="2" src="XXXX:///X:/Users/XXXXX/XXXXXXX/XXXXX/Temp/XXXXXXXXXXXX/XX/XXXXXXXXXXXXX.XXX" v:XXXXXX="Straight_x0020_Connector_x0020_2">XXXXX of XXXXXXX= 2mph </p> <p> </p>">
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