a and b can finish a certain piece of work in 4days.if a reduces his efficiency by 30% and B increases by 10% then work will be finished in 5days. If a works with his original efficiency and B work with 1.5 times of his efficiency, then in how many days working together work will be finished.
Answers
Step-by-step explanation:
check the answer and if I wrong correct me
Work will be finished in 32/9 = 3.55 days If A works with his original efficiency and B work with 1.5 times of his efficiency
Step-by-step explanation:
Let say A & B 1 day work on Normal efficiency are A & B
a and b can finish a certain piece of work in 4days
=> 4( A + B) = Work
=> 4A + 4B = Work
a reduces his efficiency by 30% and B increases by 10% then work will be finished in 5days.
=> 5( (A - 0.3A) + (B + 0.1B) ) = Work
=> 3.5A + 5.5B = Work
4A + 4B = 3.5A + 5.5B
=> 0.5A = 1.5B
=> A = 3B
4A + 4B = 4*3B + 4B = 16B = Work
a works with his original efficiency and B work with 1.5 times of his efficiency,
Then 1 Day work = A + 1.5B
= 3B + 1.5 B
= 4.5B
Number of Days = Work / 1 Day work = 16B/4.5B
= 32/9
= 3.55 Days
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