Can do a piece of work in 10 days and b can do it in 15 days and c can do it 20 days. They started the work together and a leaves after 2 days and b leaves after 4 days from the beginning. How long will work last?
a.10 3/9 days
b.10 3/8 days
c.10 2/3 days
d.None of these 39
Answers
Answer:
c) 10 2/3
Step-by-step explanation:
it would be easier to solve by efficiency
days efficiency work
a = 10 6 60
b = 15 4 60
c = 20 3 60
they work together for 2 days
= 2(6+4+3)
after a left, b and c work for 2 days
= 2(4+3)
after b left, c did all work
=d(3)
therefore
2×13 + 2×7 + 3×d =60
26+14+3d=60
3d= 20
d=6 2/3
thus the remaining work was completed in 6 2/3 days by c
which makes the total = 4 + 6 2/3
=10 2/3
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