'A' working alone take 80 days more than time taken by A and B working together to complete the work,B working alone takes 20 days more than the time taken by A and B working together to complete the work,find the time taken by A to complete the job working?
Answers
Answer:
The answer is:-
Step-by-step explanation:
Let A take x
B take y has together is hours =(
x
1
+
y
1
) in of work
Let time be t
t(
x
1
+
y
1
)+8=
x
t+8
y
t
=
x
8
t(
x
1
+
y
1
)=
y
t+4.5
x
t
=
y
4.5
y
x
=
t
8
;
y
x
=
4.5
t
t
8
=
4.5
t
⇒t
2
=36
t=6hours.
Therefore, the answer is 6hrs.
Mark my answer as the BRAINLIEST ⭐⭐
Answer:
Step-by-step explanation:
A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone, he would need 41/2 hours more to complete the job than they both working together.
another answer
Let A and B together take x hours to complete the work.
Then, A alone takes (x + 8) hours
And
B alone takes (x+92)
hours to complete the work
Then,
⇒1(x+8)+1(x+92)=1x⇒1(x+8)+2(2x+9)=1x⇒x(4x+25)=(x+8)(2x+9)⇒2x2=72⇒x2=36⇒x=6