X does half as much work as Yand Z does half as much work as X and Y together. If Z alone can finish the work in 120 days, then together ,all will finish the work in ? a) 14 1/2 b) 40 c) 24 1/2 d)17 1/3 Answer : B Z alone can finish the work in 120 days. As given Z does half as much work as X and Y together => (X + Y) can do it in 60 days (X+ Y)s 1 days wok = 1/60. X's 1 days work : Y's 1 days Work = 1 ... (1/90) + (1/120) =(2+4+3)/360 =9/360 = 1/40 All the three together will finish it in 40 days...
P and Q can do a piece of job in 24 days; Q and R can do it in 30 days while R and P can finish it in 40 days. If P, Q, Rworks together, in how many days will they finish the job? In how many days will each ... finish it, working alone? A) 15,25,35,45 B) 20,30,40,120 C) 20,30,40,50 D) 20,25,30,60 Answer : B Time taken by (P + Q) to finish the job = 24days. (P + Q)'s 1 day's job = 1/24 Time taken by (Q +R) to finish the job = 30days. (Q + R)'s 1 day's job = 1/30 Time taken by (R + P) to finish the ... - {(P + Q)'s 1 day's job } = (1/20 -1/24)=1/120 Hence, R alone can finish the job in 120 days....
Madhesh does half work as much as vinith in three eighth of the time. If together they take a day to complete the work, how much time shall vinith take to do it? a) 21 b) 22 c) 23 d) 24 Answer : A Suppose vinith takes x days to do the work Madhesh takes (2*3/8 x) = 6/8x i.e., 3/4x days to do it (madhesh + vinith’s) 1 day work = 1/9 Therefore 1/x +4/3x = 1/9 (3+4) / 3x = 1/9 7/3x = 1/9 3x = 9*7 X = 63/ 3 =21 Vinith takes 21 days to do the work....
6 male , 8 female and 12 children can complete a work in 14 days .a female does twice the work of a male does and a child does half the work a male does . how many female alone can complete this work in 14 days? a) 15 b) 10 c) 12 d) 14 Answer : D Let 1 female ‘s 1 day work= x Then 1 male’s 1 day work =x/2 And 1 child’s 1 day work =x/4 So 6x/2 + 8x +12x/4 =1/14 3x+8x+3x = 1/14 14x = 1/14 X=196 1 female alone can complete the work in 196 days So, to complete the work in 14 days number of female required = 14. ...
P,Q, & R can complete a piece of job together in 20 days. All the 3 started working at it together and after 8 days P left. Then Q & R together completed a job in 20 more days. P alone could complete the work in. a) 60 b) 50 c) 40 d) 30 Answer : B Work done by P,Q & R in 8 days = 1/20 * 8 =2/5 Remaining work = (1 - 2/5) = 3/5 Now 3/5 work is done by Q & R in 20 days Whole work will be done by Q & R in(20*5/3) =100/3 days (P+Q+R ... (Q+R)'s 1 day work =1/20 - 3/100 =5-3/100 =2/100 =1/50 P alone could complete the work in 50 days.....
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