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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 XX 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>40t + XX= 126 (we’ll XXXX this XXXXXXXX XX) </p> <p>When XXXX XXXXXXX against the current, XXX XXXXX XX XXX current XXXXX boat back XXXXXXXXX, </p> <p>XXXXX speed of XXXX= speed of boat alone<img width="XX" height="XX" XXX="file:///X:/XXXXX/XXXXX/XXXXXXX/Local/Temp/XXXXXXXXXXXX/01/clip_image004.png" v:XXXXXX="_x0000_i1025">speed of current= (XX<XXX width="11" height="XX" src="XXXX:///X:/XXXXX/ARESE/XXXXXXX/XXXXX/XXXX/XXXXXXXXXXXX/XX/clip_image004.png" v:shapes="_x0000_i1025">c) </p> <p>XXXXX, putting this speed in XXXXXXXX (i), </p> <p>(40<img width="11" height="XX" src="file:///X:/XXXXX/XXXXX/AppData/XXXXX/Temp/msohtmlclip1/XX/clip_image004.XXX" v:shapes="_x0000_i1025">c ) × t = 126 </p> <p>XXXXXXXXXXX out the brackets </p> <p>XXX<XXX width="XX" height="XX" src="XXXX:///X:/XXXXX/ARESE/XXXXXXX/XXXXX/Temp/XXXXXXXXXXXX/XX/XXXXXXXXXXXXX.png" v:shapes="XXXXXXXXXXXX">(XX’ll XXXX XXXX XXXXXXXX XXX) </p> <p>Comparing equations ii and XXX </p> <p>40t + ct= XXX </p> <p>40t<XXX width="67" height="19" src="file:///X:/XXXXX/ARESE/XXXXXXX/Local/XXXX/XXXXXXXXXXXX/01/clip_image006.XXX" v:shapes="_x0000_i1025"> </p> <p>Solving XXXXX XX simultaneous XXXXXXXXX, XX XXX XXX rid XX XXX term ‘ct’ by adding both XXXXXXXXX ii and iii. XXXX XXXXX: </p> <p> 40t + ct= 126 </p> <p>+ 40t<img width="XX" height="XX" src="XXXX:///C:/XXXXX/XXXXX/XXXXXXX/XXXXX/XXXX/XXXXXXXXXXXX/01/XXXXXXXXXXXXX.png" v:shapes="_x0000_i1025"> </p> <p><XXX width="121" XXXXXX="2" XXX="XXXX:///C:/Users/ARESE/XXXXXXX/XXXXX/XXXX/XXXXXXXXXXXX/01/XXXXXXXXXXXXX.png" v:shapes="XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX"> <XX> </p> <p> 80t = 240 </p> <p>t= <img width="XX" height="XX" XXX="file:///C:/XXXXX/ARESE/XXXXXXX/Local/XXXX/XXXXXXXXXXXX/XX/clip_image009.png" v:shapes="XXXXXXXXXXXX"> </p> <p>t=3 hours </p> <p>Substitute or put ‘t=3 hours’ in equation ii </p> <p>(40+c)<XXX width="XX" height="XX" src="file:///X:/XXXXX/XXXXX/XXXXXXX/XXXXX/Temp/XXXXXXXXXXXX/01/clip_image011.XXX" v:XXXXXX="XXXXXXXXXXXX"> </p> <p>120+ 3c= XXX </p> <p>3c= 126-XXX </p> <p>3c= 6 </p> <p>C=<XXX width="X" height="26" XXX="XXXX:///C:/Users/XXXXX/XXXXXXX/XXXXX/Temp/msohtmlclip1/01/XXXXXXXXXXXXX.XXX" v:shapes="XXXXXXXXXXXX"> </p> <p>C=X mph </p> <p><img width="XX" height="X" XXX="file:///C:/XXXXX/XXXXX/AppData/XXXXX/Temp/msohtmlclip1/XX/clip_image014.XXX" v:shapes="XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX"><img width="XX" height="2" XXX="file:///C:/Users/XXXXX/AppData/XXXXX/Temp/XXXXXXXXXXXX/01/XXXXXXXXXXXXX.XXX" v:shapes="Straight_x0020_Connector_x0020_2">XXXXX of current= 2mph </p> <p> </p>">
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