Time and Work
- 2 men and 3 women finish 25% of the work in 4 days, while 6 men and 14 women can finish the whole work in 5 days, In how many days will 20 women finish it?
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8M + 12W = 4 days (whole work)
⇒ 32M + 48W = 1 day ................ (1)
Again 6M + 14W = 5 days
⇒ 30M + 70W = 1 day ................(2)Correct Option: A
8M + 12W = 4 days (whole work)
⇒ 32M + 48W = 1 day ................ (1)
Again 6M + 14W = 5 days
⇒ 30M + 70W = 1 day ................(2)
From eq. (1) and (2)
32M + 48W = 30M +70W
⇒ 2M = 22W
⇒ 1M = 11W
Now, 30M + 70W = 1 day
(30 X 11 X 70)W = 1 day
Therefore 400W requires 1 day to complete the whole work.
Thus 20W needs 20 days to complete the whole work.
- 10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will one women can finish the work ?
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∵ One man alone finishes te work in 100 days.
⇒ 10 men can finish the work in 10 day.
⇒ 15 women can finish work in one days = 1/6 - 1/10 = 1/15 workCorrect Option: D
∵ One man alone finishes te work in 100 days.
⇒ 10 men can finish the work in 10 day.
⇒ 15 women can finish work in one days = 1/6 - 1/10 = 1/15 work
⇒ 15 women finish the whole work in 15 days
∴ 1 women finishes the whole work in = 15 x 15 = 225 days
- A, B and C contract a work for Rs. 550. Together A and B are supposed to do 7/11 of the work. The share of C should be ?
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Work to be done by C = (1 - 7/11) = 4/11
∴ (A + B) : C = 7/11 : 4/11 = 7 : 4Correct Option: B
Work to be done by C = (1 - 7/11) = 4/11
∴ (A + B) : C = 7/11 : 4/11 = 7 : 4
∴ C's share = Rs. 550 x (4/11) = Rs. 200
- A and B separately can complete a work in 6 days and 3 days respectively. If they work together, then in how many days will they complete the work ?
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Work completed by A + B in one day = 1/6 + 1/3 = 1/2
Correct Option: C
Work completed by A + B in one day = 1/6 + 1/3 = 1/2
∴ Time taken by A + B to complete the work = 2 days.
- Ram, Dilip and Shekhar can complete a work in 20 days. If Ram and Dilip together can complete the same work in 30 days, then how long will Shekhar take to complete it ?
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∵ Work of (Ram + Dilip + Shekhar) for 1 day = 1/20
and work of (Ram + Dilip) for 1 day = 1/30
∴ Work of Shekhar for 1 day = 1 / 20 - 1 / 30 = 1/60Correct Option: A
∵ Work of (Ram + Dilip + Shekhar) for 1 day = 1/20
and work of (Ram + Dilip) for 1 day = 1/30
∴ Work of Shekhar for 1 day = 1 / 20 - 1 / 30 = 1/60
Hence, Shekhar will complete the work in 60 days.