P can complete 1/4th of a work in 10 days, Q can complete 40% of the same work in 15 days, R can complete 1/3rd of the work in 13 days and S can complete 1/6th of the work in 7 days, Who will be able to complete the work first?
Explanation:
P can complete 1/4th of a work in 10 days. ∴ P can complete the entire work in 4 × 10 = 40 days.
Q can complete 40% i.e., 2/5th of the same work in 15 days. ∴ Q can complete the entire work in 15 × 5/2 = 37.5 days.
R can complete 1/3rd of the work in 13 days. ∴ R can complete the entire work in 13 × 3 = 39 days.
S can complete 1/6th of the work in 7 days. ∴ S can complete the entire work in 7 × 6 = 42 days.
⇒ Q completes the work first.
Hence, option (b).
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