Question

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

पर्याय

• 11 days

• 13 days

• 203 days

• None of these

Answer 1

13 days
Explanation:
The ratio of times taken by A and B = 100 : 130 = 10 : 13
Suppose, B takes x days to do the work.
Then, 10 : 13 :: 23 : x

⇒ ` x =((23xx13)/10)⇒x=299/10`

A's 1 day's work = `1/23`

B's 1 day's work = `10/299`

(A + B)'s 1 day's work = `(1/23+10/299)=23/299=1/13`

Therefore, A and B together can complete the work in 13 days.