A can do 40% of a work in 12 days, whereas B can do 60% of the same work in 15 days. Both work together for 10 days. C completes the remaining work alone in 4 days. A, B and C together will complete 28% of the same work in: (a) 2(1/2)days (b) 3 days (c) 13 days (d) 2 days
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Answer: Option D = 2 days
Step-by-step explanation:
A can do 40% of work in = 12 days
A can do whole work (100%) of the work = 12 x (100/40) = 30 days
B can do 60 % of the work in = 15 days
B can do whole work (100%) of the work= 15x (100/60)= 25 days
let the total work be 150 work done by a and b in 10 days = (5=6)x10 = 110
remaining work = 150 - 110 = 40
let efficiency of C be x , then
4x= 40
x= 40/4 = 10
efficiency of c is 10
28% ofthe total work = 150 x (28/100)= 42
28% of the total work A, B & C will complete in = 42/( 5+6+10) = 42/21
= 2 days
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