A can finish a work in 16 days and Bcan finish the same work in 20 days.After A had worked for 4 days, B alsojoined with A to finish the remainingwork. In how many days will theremaining work be finished? About the author Amaya
[tex] \huge \underline \bold \red {Answer:}[/tex] 6.66 days [tex] \huge \underline \bold \red {Explanation:}[/tex] Fraction of work done by A in 1day = 1/16 Fraction of work done by A in 4 days = 4/16 = 1/4 Fraction of work done by B in 1 day = 1/20 Fraction of work done by A & B in 1 day = ( 1/16) +(1/20 ) = (20+16)/320 = 36 /320 = 9/80 Work remaining = 1- (1/4 ) = 3/4 No.of days required to complete the work by A & B working together = (3/4) /(9/80) = ( 3×80)/(4×9) = 240/36 = 60/9=6.66 A & B would require 6.66 more days to complete the remaining work . Reply
[tex] \huge \underline \bold \red {Answer:}[/tex]
6.66 days
[tex] \huge \underline \bold \red {Explanation:}[/tex]
Fraction of work done by A in 1day = 1/16
Fraction of work done by A in 4 days = 4/16 = 1/4
Fraction of work done by B in 1 day = 1/20
Fraction of work done by A & B in 1 day = ( 1/16) +(1/20 ) = (20+16)/320
= 36 /320 = 9/80
Work remaining = 1- (1/4 ) = 3/4
No.of days required to complete the work by A & B working together
= (3/4) /(9/80) = ( 3×80)/(4×9) = 240/36 = 60/9=6.66
A & B would require 6.66 more days to complete the remaining work .
Answer:
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