Aptitude Time and Work Test Paper 416) 40 men can paint a building in 15 days working 4 hours a day. In how many days 30 men working 5 hours a day will complete the work?
The Correct answer is (C) Explanation: Let the work will be completed in X days. Apply formula: M1 D1 T1 W2 = M2 D2 T2 W1 W1=W2 Therefore, 40 * 15 * 4 = 30 * D2 * 5 2400 = 150 * D2 D2 = 2400 _{=} 16days 17) A certain number of men can do a piece of work in 50 days. If there were 6 men more the same work could be done in 10 days less. Find the original number of men.
The Correct answer is (D) Explanation: Let the original number of men = X X men do the work in 50 days. As per the question, X + 6 men can do the work in 40 days (50 10). Apply formula: M1D1W2 = M2D2W1 W1=W2 Therefore, X * 50 = (X + 6) * 40 50 X = 40X + 240 10X = 240 X = 240 _{=} 24 men 18) A is twice as good as workman as B so he can do a work in 40 days less than B. If they work together, in how many days they can do the work?
The Correct answer is (C) Explanation: A is twice as good as workman as B so he will take less time to do a piece of work than B and the ratio of time taken by A and B would be = 1:2 So, if there is a difference of one day (21), B takes 2 days. As per question the difference in time taken by A and B is 40 days. So, if the difference is of 40 days, B will take 2 * 40 = 80 days. A takes 40 days less than B. So, A will take 40 days (80  40) to do the work. A's one day work = 1 B's one day work = 1 (A + B)'s one day work = 1 _{+} 1 _{=} 120 _{=} 3 So, working together they will do the work in 80 days 19) A is twice as good as workman as B and working together they can do a piece of work in 20 days. If A alone works, in how many days he will do the work?
The Correct answer is (A) Explanation: As per question: Work done by A in 1 day: work done by B in 1 day = 2:1 A and B working together can complete the work in 20 days. So, (A+ B)'s one day work = 1 Therefore, A's one day work will be = 1 _{∗} 2 _{=} 2 _{=} 1 Therefore, A alone can finish the work in 30 days 20) 3 workers can do a piece of work in 20 days. If one of them works only for half time in a day, in how many days the work will be done?
The Correct answer is (A) Explanation: 3 men's one day work = 1 One man works for half day, so his one day's work = 1 _{=} 1 Sum of each man one day's work = 1 _{+} 1 _{+} 1 _{=} 5 _{=} 1 Therefore, they will do the work in 24 days Aptitude Time and Work Test Paper 1 Aptitude Time and Work Test Paper 2 Aptitude Time and Work Test Paper 3 Aptitude Time and Work Test Paper 5 Aptitude Time and Work Test Paper 6 Aptitude Time and Work Test Paper 7 Aptitude Time and Work Test Paper 8 Aptitude Time and Work Test Paper 9 Time and Work Concepts
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