A takes contract of doing landscaping work at the local park. However, at the end of 20days, 20% of the work was still remaining. He called his friend B for help and together finished the the remaining work in 3 days. If both A and B can do the work at the equal rate, how long would B have taken to finish the entire work on his own?
Answers
Given : at the end of 20 days, 20% of the work was still remaining.
A and B finished the remaining work in 3 days.
To Find : how long would B have taken to finish the entire work on his own
43 days
37.5 days
40 days
35.5 days
Solution:
Let say Total Work is W
Work done by A in a day = A
Work Done of A in 20 Days = 20 A
at the end of 20 days, 20% of the work was still remaining
Work remaining = (20/100)W = 0.2W
Work Done by A = W - 0.2W = 0.W
20A = 0.8W
=> A = 0.04W
Work Done in 3 Days by A = 0.04 x 3 = 0.12W
Work Done by B in 3 Days = 0.2W - 0.12W = 0.08W
0.08W , work done by B = 3 Days
work done by B = 3/0.08
= 37.5
B will take 37.5 days alone to finish the work
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Given : at the end of 20 days, 20% of the work was still remaining.
A and B finished the remaining work in 3 days.
To Find : how long would B have taken to finish the entire work on his own
43 days
37.5 days
40 days
35.5 days
Solution:
Let say Total Work is W
Work done by A in a day = A
Work Done of A in 20 Days = 20 A
at the end of 20 days, 20% of the work was still remaining
Work remaining = (20/100)W = 0.2W
Work Done by A = W - 0.2W = 0.W
20A = 0.8W
=> A = 0.04W
Work Done in 3 Days by A = 0.04 x 3 = 0.12W
Work Done by B in 3 Days = 0.2W - 0.12W = 0.08W
0.08W , work done by B = 3 Days
work done by B = 3/0.08
= 37.5
B will take 37.5 days alone to finish the work
Learn More
A given work can be done by Amar in 10 days, by Akbar in 20 days ...
brainly.in/question/31429169
with P starting the work, working on alternate days P and Q can ...
brainly.in/question/12303996
A,b,c can do a piece of work in 150 days,75 days,75/2 days ...
brainly.in/question/8268307