P. Q and R completed a certain project working
together. The number of hours for which P worked on
2 rd
the project was
of that for which Q worked on the
3
2th
project, which in turn was of that for which R
5
worked on the project. The number of hours for which
R worked is what fraction of the total number of hours
for which all three worked?
Answers
Given :- P, Q and R completed a certain project working together. The number of hours for which P worked on the project was 2/3of that for which Q worked on the project, which in turn was 2/5 of that for which R worked on the project. The number of hours for which R worked is what fraction of the total number of hours for which all three worked ?
Answer :-
we have,
→ P worked on the project for = (2/3) of Q worked .
so,
→ P time = (2/3) * Q time
→ P/Q = (2/3)
→ Q : P = 3 : 2
and,
→ P = (2/5) of R worked .
→ P/R = 2/5
→ P : R = 2 : 5
then,
→ Q : P : R = (3 * 2) : (2 * 2) : (2 * 5) = 6 : 4 : 10 = 3 : 2 : 5
therefore,
→ R worked for = (5/3 + 2 + 5) = 5/10 = (1/2) (Ans.)
Hence, R worked for half of the total time for which all three worked .
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Step-by-step explanation:
take ratio of p and q
than take ratio of q and r
than equate ratio p:q and q:r
