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<html><table height="500" width="1000" border="2"><TR height="5" width="1000"><strong><center><h2>APTITUDE</h2></center></strong></TR><TR><TD align="left" width="200"><table><TR><a href=""><strong>Numbers</strong></a></TR><br><TR><a href=""><strong>H.C.F and L.C.M</strong></a></TR><br><TR><a href="dec.html" target="right"><strong>Decimal Fractions</strong></a></TR><br><TR><a href="simplification.html"><strong>Simplification</strong></a></TR><br><TR><a href="squareandcuberoot.html" target="right"><strong>Square and Cube roots</strong></a></TR><br><TR><a href="average.html" target="right"><strong>Average</strong></a></TR><br><TR><a href="numbers.html" target="right"><strong>Problems on Numbers</strong></a></TR><br><TR><a href="problemsonages.html" target="right"><strong>Problems on Ages</strong></a></TR><br><TR><a href=""><strong>Surds and Indices</strong></a></TR><br><TR><a href="percent.html" target="right"><strong>Percentage</strong></a></TR><br><TR><a href="profitandloss.html" target="right"><strong>Profit and Loss</strong></a></TR><br><TR><a href="ratioandproportion.html" target="right"><strong>Ratio And Proportions</strong></a></TR><br><TR><a href="partnership.html"><strong>Partnership</strong></a></TR><br><TR><a href="chainrule1.html"><strong>Chain Rule</strong></a></TR><br><TR><a href="timeandwork.html" target="right"><strong>Time and Work</strong></a></TR><br><TR><a href="pipesandcisterns.html" target="right"><strong>Pipes and Cisterns</strong></a></TR><br><TR><a href=""><strong>Time and Distance</strong></a></TR><br><TR><a href="trains.html" target="right"><strong>Trains</strong></a></TR><br><TR><a href="boats.html"><strong>Boats and Streams</strong></a></TR><br><TR><a href=""><strong>Alligation or Mixture </strong></a></TR><br><TR><a href="simple.html" target="right"><strong>Simple Interest</strong></a></TR><br><TR><a href="CI.html" target="right"><strong>Compound Interest</strong></a></TR><br><TR><a href=""><strong>Logorithms</strong></a></TR><br><TR><a href="" target="right"><strong>Areas</strong></a></TR><br><TR><a href="" target="right"><strong>Volume and Surface area</strong></a></TR><br><TR><a href="" target="right"><strong>Races and Games of Skill</strong></a></TR><br><TR><a href="" target="right"><strong>Calendar</strong></a></TR><br><TR><a href="clocks.html" target="right"><strong>Clocks</strong></a></TR><br><TR><a href="" target="right"><strong>Stocks ans Shares</strong></a></TR><br><TR><a href="true.html" target="right"><strong>True Discount</strong></a></TR><br><TR><a href="banker1.html" target="right"><strong>Bankers Discount</strong></a></TR><br><TR><a href="oddseries.html" target="right"><strong>Oddmanout and Series</strong></a></TR><br><TR><a href=""><strong>Data Interpretation</strong></a></TR><br><TR><a href=""><strong>probabulity</strong></a></TR><br><TR><a href="percom1.html" target="right" ><strong>Permutations and Combinations</strong></a></TR><br><TR><a href="pinkivijji_puzzlesoriginal.html" target="right"><strong>Puzzles</strong></a></TR></table></TD><TD ><pre> <a href="boats1.html" name="right">BACK</a> <font size="5">BOATS AND STREAMS</font><font size="3">Examples:</font>1. In one hour a boat goes 11 km long the stream and 5 km against the stream. The speed of the boat in still water is?Sol: Speed in still water = 陸 ( 11+5) km/hr = 8 kmph2.A man can row 18 kmph in still water. It takes him thrice as long as row up as to row down the river. find the rate of stream.Sol:Let man's rate up stream be xkmphthen, in still water =1/2[3x+x]=2x kmphso, 2x= 18, x=9rate upstream =9kmphrate downstream =27 kmphrate of stream = 陸 [27-9]= 9kmph3.A man can row 71/2kmph in still watre . if in a river running at 1.5 km an hour, if takes him 50 min to row to place and back. how far off is the place?Sol:speed down stream =7.5+1.5=9kmphspeed upstream =7.5-1.5=6kmphlet the required distence x km. then ,x/9+x/6=50/60 = 2x+3x= 5/6*185x=15, x=3Hence, the required distence is 3 km4.A man can row 3 quarters of a km aganist the stream is 111/4 min. the speed of the man in still water is ?Sol:rate upstream = 750/625 m/sec =10/9 m/secrate downstream =750/450 m/sec = 5/3 m/secrate in still water =1/2[10/9+5/3] = 25/18 m/sec= 25/18*18/5=5 kmph5.A boat can travel with a speed of 13 kmph in still water. if the speed of stream is 4 kmph,find the time taken by the boat to go 68 km downstream?Sol: Speed down stream = 13+4= 17 kmphtime taken to travel 68km downstream =68/17 hrs = 4 hrs6.A boat takes 90 min less to travel 36 miles downstream then to travel the same distence upstream. if the speed of the boat in still water is 10 mph . the speed of the stream is :Sol: Let the speed of the stream be x mph .then, speed downstream = [10+x]mphspeed upstream =[10-x] mph36/[10+x] - 36/[10-x] = 90/60 =72x*60= 90[100-x2](x+50)(x-2) =0x=2 kmph7.At his usual rowing rate, Rahul 12 miles down stream in a certain river in 6 hus less than it takes him to travel the same distence upstream. but if he could double his usual rowing rate for his 24 miles roundthe down stream 12 miles would then take only one hour less than the up stream 12 miles. what is the speed of the current in miles per hours?Sol:Let the speed in still water be x mph and the speed of the curren be y mph.then, speed upstream = (x-y)speed downstream =(x+y)12/(x-y) - 12/(x+y) = 66(x2 鈥?? 快捷鍵說明
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