A certain number of men can complete a work in six hours less than the time…
2018
A certain number of men can complete a work in six hours less than the time taken by some women. Work completed by one man in one hour is same as the work completed by one woman in one hour.
→ Which one of the following ratio of number of men to number of women can satisfy the above given condition
(i). 5:6
(ii). 10:3
(iii). 8:5
(iv). 10:7
- A.
only (ii)
- B.
only (ii) and (iii)
- C.
only (i) and (iii)
- D.
all of the above
- E.
only (ii), (iii) and (iv)
Attempted by 22 students.
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Correct answer: E
Since one man and one woman have the same hourly efficiency, a larger number of men than women will finish the same work sooner. The men's time is six hours less, so the men:women ratio must be greater than 1. Ratios (ii) 10:3, (iii) 8:5, and (iv) 10:7 satisfy this; 5:6 does not.