P can do 1 2 of a work in 10 days and Q can do 1 5 of the same work in 4 days In how many days can b...........

Quantitative Aptitude (MTS) Time and work

P can do 1/2 of a work in 10 days and Q can do 1/5 of the same work in 4 days. In how many days can both finish the work,

working together?

This questions was previously asked in

SSC MTS 5th July 2022 Shift-1

14 days

10 days

15 days

5 days

- Worker P can complete half of the work in 10 days. This means P can complete the full work in 20 days.

- Worker Q can complete one-fifth of the work in 4 days. This implies Q can complete the full work in 20 days.

- To find out how many days they can complete the work together, sum their work rates.

- P's work rate is 1/20 of the work per day. Q's work rate is also 1/20 of the work per day.

- Together, P and Q can do (1/20 + 1/20) = 1/10 of the work per day.

- Thus, they can complete the entire work in 10 days.

Option:2 - 10 days

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