Working together, a and b finish a dtp work in 10 days. has a worked at half his efficiency and b at 5 times her efficiency, then they would have finished the dtp work in half the schedule time. in how may days can b complete the dtp work on her own
Answers
B will take 30 days to complete Work
Step-by-step explanation:
Let say A's 1 Day work = A
& B's 1 Day Work = B
W = dtp Work
Working together, a and b finish a dtp work in 10 days
10A + 10B = W Eq1
A worked at Half efficiency
=> A's 1 Day work = A/2
b has worked at 5 times her efficiency
=> B's 1 Day work = 5B
they would have finished the dtp work in half the schedule time = 10/2 = 5 Days
=> 5(A/2) + 5(5B) = W
=> 5A + 50B = 2W Eq2
2*Eq2 - Eq1
=> 100B -10B = 4W - W
=> 90B = 3W
=> 30B = W
=> B will take 30 days to complete Work
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