watering the garden? Mason A can build a shed in 12 hours. Mason B takes 9 hours while Mason C takes 12 hours to do the same job. If the three masons are put to work together how long will they take to build the shed? How will the payment of 1000 for the job be distributed among the three?
Answers
Answer:
All three A,B,C take 3.6 hrs to build the shed.
Payment : A - 363.6, B- 272.8, C- 363.6
Step-by-step explanation:
Given : Mason A takes 12 hrs to build a shed
Mason B takes 9 hrs to build a shed
Mason C takes 12 hrs to build a shed
Payment for the total job = 1000
Solution :
1. In one hr A finishes = 1/12 of shed
B finishes = 1/9 of shed
C finishes = 1/12 of shed
If all together work = 1/12 + 1/9 + 1/12
= 10/36 of shed
∴ 10/36 of shed work takes 1 hr
1 shed work = 1 *36/10
= 3.6 hrs
2. Payment of 1000 distribution A:B:C = 12 : 9 : 12
A payment = 1000* 12/33
= 363.6
B payment = 1000 * 9/33
= 272.8
C payment = 1000* 12/33
= 363.6