A Can do 1/3 of the work in 15 days, B can do 75% of the same work in 18 days and C can do same work in 36 days B and C work together for eight days in how many days a alone can complete the remaining work
A किसी कार्य का एक तिहाई को 15 दिन में कर सकता है Bउसी काम के 75% भाग को 18 दिन में कर सकते हैऔर सी अकेला उस काम को 36 दिन में कर सकते हैं B और C 8 दिन तक साथ काम करते हैं तो बताओ शेष काम Aअकेला कितने दिन में कर सकता है
This Question Asked In:
SSC, CGL
Correct Answer :B - 20
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Detailed Text Solution
A can do 1/3rd of the work in = 15 days
A can do the whole work = 15 × 3 = 45 days
B can do 75% of the work in = 18 days
B can do the whole work = 18 × (100/75) = 24 days
C can do the whole work = 36 days
Total work = 360
∴ The efficiency of A, B and C is 8 : 15 : 10 respectively
Work done by B and C in 8 days
= (15 + 10) × 8
= 200
Remaining work = 360 − 200 = 160
∴ Remaining work A will complete in
= 160 / 8
= 20 days