A can do 2/5 of the work in six days and B can do 2/ 3 of the same work in 12 days, A and B work together for six days. C complete the remaining work in eight days, A and C working together will complete the same work in how many days?
A एक कार्य का 2/5 भाग 6 दिन में पू रा कर सकता है और B उस कार्य का 2/3 भाग 12 दिन में पूरा कर सकता है। A और B ने 6 दिन एक साथ कार्य किया। C अकेले शेष कार्य को 8 दिन में पूरा करता है। A और C, एक साथ कार्य करने पर, उस कार्य को कितने दिन में पूरा करेंगे?
This Question Asked In:
SSC, CGL
Correct Answer :A - 10
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A can do 2/5 of the work in 6 days
A can complete the whole work
= 6 × 5/2
= 15 days
B can do 2/3 of the work in 12 days
B can complete the whole work
= 12 × 3/2
= 18 days
Total work = 90
Work done by A and B in 6 days
= (6 + 5) × 6
= 11 × 6
= 66
Remaining work
= 90 − 66
= 24
Let efficiency of C be = x
Work done by C in 8 days
= 8x
So,
8x = 24
x = 3
∴ Efficiency of C = 3
Efficiency of A = 6
Efficiency of C = 3
A and C together efficiency = 6 + 3 = 9
Time taken by A and C to complete the work
= 90 / 9
= 10 days