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HARSH

· started a discussion

· 1 Months ago

question id 113252 (Question: 113252.0 )

please explain this answer

Question:
A is thrice as fast as B and is therefore able to finish a work in 60 days less than B. The time in which they can do it working together is:
Options:
A) \(\cfrac{45}{2}\)
B) \(\cfrac{44}{2}\)
C) \(\cfrac{43}{2}\)
D) \(\cfrac{47}{2}\)
Solution:
 Ans: (a)

Let B finish the work in 3x days

∴ A will finish the work in x days

Also 3x-x=60

x=30 days.

∴ A's one day work =1/30

B"s one day work=1/90

(A+B)'s one day work=1/30+1/90=4/90

∴  Time taken to finish the work

while (A+B) working together = 90/4

=45/2 days.

Knowledge Expert

· commented

· 1 Months ago

Dear student,
Please read the solution properly.
Keep learning,
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