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Time and Work
A can do a piece of work in 7 days of 9 hours each and B alone can do it in 6 days of 7 hours each.how long will they take it to do working together
8 2/5 hours a day?
Read Solution (Total 7)
-
- A's work per hour=1/63
B's work per hour=1/42
A & B's work per hour together=(1/63)+(1/42)=5/126
so a & B together complete the work in 126/5 hours...
if they work 8 2/5=42/5 hours a day,
it will take (126/5)/(42/5) days=(126/5)*(5/42)=3 days...
- 12 years agoHelpfull: Yes(74) No(3)
- Ans 3 Days
A's 1 hr. work=1/(7*9)=1/63
B's 1 hr. work=1/(6*7)=1/42
(A+B)'s 1 hr. work=1/63 + 1/42=105/2646
(A+B)'s 8 2/5(=42/5) hr. or 1 day work=(42/5)*(105/2646)=21/63=1/3
Therefore days to complete the work by A & B together=3
- 12 years agoHelpfull: Yes(18) No(1)
- A: 7*9 =63
B: 6+7=42
A+B= 1/63 + 1/42 = 5/126
8 2/5 ->42/5
IE,... 126/5*5/42 = ANS:3 DAYS - 12 years agoHelpfull: Yes(2) No(0)
- A=7*9=63 hour
B=6*7=42 hour
so A+B=AB/(A+B)
=63*42/63+42=126/5 hour
now they will take 5/42*126/5=3 days ans - 10 years agoHelpfull: Yes(1) No(0)
- 3 days will be the answer.. we calculated the combined work of a and b and then we have converted that in days..
- 10 years agoHelpfull: Yes(0) No(0)
- [A + B]*8 2/5
[1/(7*9) + 1/(6*7)]*42/5
1/7[1/9 + 1/6]*42/5
[5/18]*6/5====1/3 ==3days - 9 years agoHelpfull: Yes(0) No(0)
- the answer is 3 days
- 5 years agoHelpfull: Yes(0) No(0)
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