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Question 1
A can do a piece of work in 39 days. B is 30% more efficient than A. In how many days can B complete that work?
Question 2
A and B can together complete a job in 12 days. A can alone complete it in 14 days. How long would B alone take to finish the job?
Question 3
A can harvest a field in 12 days. B can do the same work in 7 days. In how many days will they together harvest the field?
Question 4
A, B and C can independently complete a work in 16, 11 and 6 days respectively. First C starts the work, then A joined after 3 days, and B after 2 days. In how many days was the work completed?
$4{47/169}$ days.
$5{47/169}$ days.
$6{47/169}$ days.
$7{47/169}$ days.
Ans: a
Use the shortcut formula. If A, B, C can independently complete the job in x, y and z days, and A joins after n days, and B joins after m days, the work is completed in ${xyz}/{xy + yz + zx}$ × $(1 + n/x + m/y)$ days. Putting the various values x = 16, y = 11, z = 6, n = 3, m = 2, and simplifying, we get ${723/169}$, which is same as: $4{47/169}$.
Question 5
If 102 men can do a task in 48 days if they work 17 hours per day, how many men are required to complete the task in 17 days if they work 16 hours?
306.
307.
305.
309.
Ans: a
If m1 men can do a task in d1 days by working h1 hours per day, and m2 in d2 days by working h2 hours per day, then we must have m1 × d1 × h1 = m2 × d2 × h2. Putting m1 = 102, d1 = 48, h1 = 17, d2 = 17, and h2 = 16 we get m2 = 306.
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This Blog Post/Article "Time and Work Quiz Set 016" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-03