Ram and Arjun can do a piece of work in 10 days Arjun and Rahim can do it in 12 days and Ram and Rahim can do it in 20 days then Ram alone can do that piece of work in in how many days
Options a) 30days B 20 days 3 12 days and 10 days
Answers
Answer:
Ram alone can do that piece of work in 9 days.
Given:
Ram and Arjun can do a piece of work in 10 days. Arjun and Rahim can do it in 12 days and Ram and Rahim can do it in 20 days.
Then Ram alone can do that piece of work in in how many days.
Solution:
Consider ram as x, arjun as y and Rahim as z
x + y = 10 …(1)
y + z = 12 …(2)
x + z = 20 …(3)
add (1) and (2), we get
x + 2y +z =22 …(4)
subtract (4) and (3). We get
2y = 2
Y = 1
Substitute y = 1 in (1)
X + y = 10
X = 9 days
The given options are wrong.