Question : Ram can copy 60 pages in 15 hours. If Ram and Riya together can copy 180 pages in 30 hours, in how many hours can Riya copy 20 pages?
Option 1: 29 hours
Option 2: 12 hours
Option 3: 20 hours
Option 4: 10 hours
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Correct Answer: 10 hours
Solution : Given: Ram can copy 60 pages in 15 hours. Total pages = Pages per hour × Time Ram's rate is $\frac{60}{15} = 4$ pages per hour. Together, Ram and Riya can copy 180 pages in 30 hours. So, their combined rate (Ram + Riya) is $\frac{180}{30} = 6$ pages per hour. Ram + Riya = 6 pages per hour ⇒ 4 + Riya = 6 pages per hour ⇒ Riya = 2 pages per hour Let T be the time in hours for Riya. So, 20 pages = 2 pages per hour × T ⇒ T $=\frac{20}{2}=10$ hours Hence, the correct answer is 10 hours.
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Question : $x$ can copy 80 pages in 20 hours $x$ and $y$ together can copy 135 pages in 27 hours. Then $y$ can copy 20 pages in:
Option 1: 20 hours
Option 2: 3 hours
Option 3: 24 hours
Option 4: 12 hours
Question : Aarti can type 85 pages in 10 hours. Aarti and Bina together can type 500 pages in 40 hours. How much time will Bina take to type 40 pages?
Option 1: 10 hours
Option 2: 15 hours
Option 3: 14 hours
Question : B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together, they can complete the task in 12 hours. How many hours would B take to do 50% of the task?
Option 1: 30
Option 2: 15
Option 3: 20
Option 4: 10
Question : Ram and Ramesh can do work in 12 days, Ramesh and Somesh in 15 days and Somesh and Ram in 10 days. If Ram, Ramesh, and Somesh work together, in how many days will they complete the work?
Option 1: 10
Option 2: 8
Option 3: 12
Option 4: 6
Question : 15 men take 20 days to complete a job, working 8 hours a day. The number of hours a day that 20 men should take to complete the job in 12 days.
Option 1: 5 hours
Option 2: 10 hours
Option 3: 15 hours
Option 4: 18 hours
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