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
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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