Bunuel wrote:
prasannajeet wrote:
Two women, A and B working separately can mow a field in 8 and 12 hrs respectively. If they work together in stretches on 1 hr alternately, A beginning at 9:00 AM, when will the mowing be finished?
HI Bunnel
Please clarify me where I have gone wrong
Rate A-1/8
Rate B-1/12
let say A works for 4 hour and rate is 1/8 so total job done = 1/8*4=1/2
Similarly let say B works for 6 hour and rate is 1/12 so total job done=1/12*6=1/2
So both can finish the work in 10 hours if they work alternatively. 9.00 am+10 hour=19.00pm answer
Where i have gone wrong..............
Rgds
Prasannajeet
I think you misinterpreted the question. A and B work in shifts: A goes first and works for 1 hour, then goes B and works for 1 hour, ... Thus, for this scenario it's not possible A to work 4 hours and B 6 hours.
hey Bunuel,
thanks for the solution,
I just have one questions
if the rate came to 5/25 instead of 5/24, would the answer me 10 hours?
I stopped my solution at time = 24/5 = about 9.8 hours. Not sure what alerts us to solve further for the breakdown.