BASIC CONCEPTS – 2 Time and Distance, Time and Work 1) A and B can do a piece of work in 40 days while C & A can do it in 60 days. days. If B is twice as good as C then C alone will do the work in ________ days. 1) 1!0 days !) 100 days ") #0 days 4) !4 days !) A is thrice as good a work$an as B and B is twice as good a work$an as C. If they all finish a piece of work in 1! days% then C alone will finish it in ____________days. 1) 1# days !) 10# days ") " days 4) 14 days ") A can do a work in 1 days & B the sa$e work work in 1! days. B started started the work and was 'oined (y A% days (efore the end of work. he work lasted for ____ days. 1) # days !) 1! days ") 1" days 4) !4 days 4) A can do a piece of work in 40 days and B can do the sa$e in "0 days. A started alone (*t left the work after 10 days% then B worked at it for 10 days. C finished the re$aining work in 10 days. +ow long will C alone take to do, 1) !4 days
!) "0 days
") 44 days
4) 1-
1 days 7
) $en or 6 wo$en or 10 (oys can do a work in 1 days. +ow long will it take to co$plete the work (y a gro*p of $en% 6 wo$en and 10 (oys. 1) days !) 6 days ") 10 days 4) 4 days 6) A can do a piece of work in 0 days% B in 40 days and C in 1! days. hey i.e. first day A does it alone% second day B does it alone and third day C cycle is repeated till work is co$pleted. hey get /s !40 for this 'o(. proportion to the work each had done. 2ind the a$o*nt A will get, 1) 14 !) !4 ") "4
work for a day each in t*rn% does it alone. After that the If the wages are diided in 4) "6
-) hree $en with (oys can do a piece of work in ! days and 4 $en and 16 (oys can co$plete the 'o( in one day. +ow +ow $*ch ti$e will it take for one (oy together with a wo$an who can work twice as fast as the (oy to co$plete a 'o( that is three ti$es as ti$e cons*$ing, 1) !4 days !) !# days ") "! days 4) "6 days #) A and B together can do apiece of work in twele days which B and C together can do in 16 days. After A has (een working at it for fie days and B for seen days% C finishes it in 1" days. In how $any days C alone will do the work, 1) 16 days !) !4 days ") "6 days 4) 4# days ) wele wele $en co$plete a work in days. After they hae worked for 6 days% 6 $ore $en 'oin the$. +ow $any days will they take to co$plete the re$aining work, 1) ! days !) " days ") 4 days 4) days 10) A tank% which co*ld (e filled in hrs% takes 1 ho*r $ore to (e filled owing to a leak in its (otto$. If the tank is f*ll% the leakage will e$pty the tank in. 1) 1hr !) 11 hrs ") 1" hrs 4) "0 hrs 11) 3ipe A can fill a tank in 16 $in and pipe B can e$pty it in !4 $in. If (oth are opened% after how $any $in*tes sho*ld pipe B (e closed% so that tank is filled in "0 $in, 1) !0 !) !1 ") !" 4) !! 1!) wo pipes can fill a tank in 1# $in and !- $in. A third pipe can e$pty f*ll tank in 6 $in. All three are opened when tank was !" f*ll. In how $any $in% will tank (eco$e e$pty, 1) 11 !) ") 1" 4) 1") A% B & C can fill a tank in 1!% !4% 4# hrs. hey are opened together% together% (*t B is closed " hrs (efore and C closed ! hrs (efore filling of tank. In how $any ho*rs% was tank filled, 1) 6 !) # ") 4) 14) hree pipes A% B and C can fill a tank in # hrs. All the three pipes are opened for ! hrs and then C is closed. If A & B fill the re$aining tank in hrs% find the ti$e taken (y C alone to fill the tank, 1) 1! !) 1# ") !4 4) "6
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1) At 10 A5 taps A%B and C are t*rned on. A can fill the t*( in hrs% B can fill it in 10 hrs and C can e$pty it in -hrs. At what ti$e% working together will the tank (e filled 1) 4 A5 !) 6 A5 ") 4 35 4) 6 35 16) A leaes a station at # $ph and after ho*rs B leaes the sa$e station and traels in the sa$e direction as A at 1! $ph. After how $*ch ti$e B oertakes A, 1) 6 hrs !) # hrs ") 10 hrs 4) 1! hrs 1-) wo cars 3 and 7 start at the sa$e ti$e fro$ A and B which are 1!0 k$ apart. If the two cars trael in opposite directions% they $eet after one ho*r and if they trael in sa$e direction fro$ A towards B)% then 3 $eets 7 after 6 hrs. 8hat is the speed of the car 3, 1) 60 k$h !) -0 k$h ") #0 k$h 4) 40 k$h 1#) A% B and C are the three persons r*n on the circ*lar path at the speed of !0 $sec% "0 $sec and 0 $sec respectiely in the sa$e direction. he circ*$ference of the track is 600 $eters. 8hen will they (e together again for the first ti$e at the starting point, 1) 4 9ec !) 60 sec ") " sec 4) sec 1) he ratio of the distance fro$ : to y to the distance fro$ y to ; is 4.A $an traels fro$ : to y at 0 $ph and y to ; at 40 $ph. 2ind his aerage speed for the entire 'o*rney, a) ! $ph !) " $ph ") 4 $ph 4) 0 $ph !0) he speed of a (*s witho*t stoppages is 0 $ph and with stoppage is " $ph. +ow $any $in*tes per ho*r does the (*s stop, 1) 1 $in !) 1# $in ") !0 $in 4) !4 $in !1) ) A $an coers 1"rd of the distance at 60 $ph and re$aining re$aining distance at the rate rate of #0 $ph. 2ind his aerage speed for the entire 'o*rney, 1) "6 $ph !) 4 $ph ") 60 $ph 4) -! $ph !!) A train leaes point A at 6.00 a.$. and reaches point B at 10.00 a.$. Another train leaes point B at #.00 a.$. and reaches point A at 1! noon. 8hen do the two trains $eet, 1) .00 a.$. !) 10.00 a.$. ") 11.00 a.$. 4) 1.00 p.$. !") Increasing his speed (y ! $ph a person coers a certain distance 1 hr early. +ad he decreased his speed (y ! $ph% he wo*ld hae taken 1 hrs late. 2ind the distance traeled traeled (y that person, 1) "0 $iles !) 40 $iles ") 4# $iles 4) 60 $iles !4)
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