SSC CGL 202021)Sixteen men can finish a work in 8 days. Eight men and nine women working together can finish the same work in 10 days. In how many days will twenty women finish the same work?
12
Let one man can finish work in m days & one woman finish work in w days. then work done by 1 man in 1 day is 1/m .
and work done by 16 men in 8 days = 1 .
\(\therefore{16\times8\over m}=1\);
also, \({8\times10\over m}+{9\times10\over w}=1\); Solving above, m = 128 days, w = 240 days;
Let 20 women finish work in x days = \({20\times x\over 240}=1\); ⇒ x = 12 days
SSC CGL 201622)A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is
12 days
SSC CGL 201623)In what time will a 100 metre long train running with a speed of 50 km/hr cross a pillar
7.2 sec
SSC CGL 202024)To complete a certain task. X is 40 % more efficient than Y, and Z is 40% less efficient than Y. Working together, they can complete the task in 21 days. Y and Z together worked for 35 days. The remaining work will completed by X alone in:
5 days
Efficiency of X = 140% of Y = 1.4Y;
Efficiency of Z = 60% of Y = 0.6Y;
Efficiency of X, Y and Z = 1.4 : 1 : 0.6 = 7 : 5 : 3;
They can complete the task in 21 days so,
\(Total \space work = sum\space of\space efficiency\space ratio \times times = (7 + 5 + 3) \times 21 = 315\);
Y and Z together worked for 35 days so,
Work done by Y and Z = \((5 + 3) \times 35 = 280\);
Remaining work = 315 - 280 = 35;
Remaining work complete by X = work/efficiency = 35/7 = 5 days
SSC CHSL 202125)A and B can complete a certain task in 24 days and 40 days, respectively. They worked together for 8 days. C completed the remaining task in 14 days. Working together, A and C will complete 75% of the same work in:
10 days
SSC CHSL 202126)Varun and Syan can do a work in 3 days. Syan and Anil can do it in 4 days, and Anil and Varun can do it in 6 days. How many days will Anil alone take to do the work?
24
SSC CHSL 202127)Working together, A, B and C can finish a piece of work in 3 hours. A finishes the same work in 8 hours and B finishes it in 6 hours. How long will it take for C alone to finish the same work?
24 hours
SSC CHSL 202128)A and B can complete a certain work in 6 days and 8 days, respectively. They worked together for 3 days. C alone completed the remaining work in 2 days. B and C together can complete \(\frac{3}{4}\) of the same work in:
4 days
SSC CHSL 202129)A and B complete a work in 80 days and 96 days, respectively. They completed the work in 32 days with the help of C, How many days will C take to complete the entire work alone?
120
SSC CHSL 202130)A can do a work in \( 7 \frac{1}{2} \) hours and B can do the same work in \( 10 \frac{1}{2} \) hours. If they work together for \(3 \frac{1}{2}\) hours, then what part of the work will be left out?
1/5