Question

A and B together can build a wall in 10 days; B and C working together can do it in 15 days; C and A together can do it in 12 days How long will they take to finish the
work , working all together? Also find the number of days taken by each to do the same work working alone .

Answer 1

Step-by-step explanation:

60

/. |. \

/. |. \

A+B. B+C. C+A

10. 15. 12

efficiency of

A+B=60/10=6

B+C=60/15=4

C+A=60/12=5

A+B=6

B+C=4

C+A=5

.................

2(A+B+C)=15

A+B+C=7.5

C=7.5 - 6=1.5

B=7.5 - 5=2.5

A=7.5 - 4=3.5

no. of days they will take if they will work together= 60/7.5=8days

no. of days A will take=60/1.5=40days

no. of days B will take=60/2.5=24 days

no. of days C will take=60/3.5=600/35=120/7=17 1/7 days