2 women and 3 men can do a piece of… - CUET UG 2022 General Test PYQ

CUET UG 2022 — General Test Arithmetic

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2 women and 3 men can do a piece of work in 10 days while 3 women and 2 men can do the same work in 8 days. In how many days can 2 women and 1 man do the work?

Official previous-year question

Held on 23 Aug 2022 · Verified 13 Jul 2026.

Options

A
$12\frac{1}{4}$ days
B
15 days
C
25 days
D
$12\frac{1}{2}$ days

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Solution

Let 1 woman's work $= \frac{1}{W}$ and 1 man's $= \frac{1}{M}$ . From $\frac{2}{W} + \frac{3}{M} = \frac{1}{10}$ and $\frac{3}{W} + \frac{2}{M} = \frac{1}{8}$ , solving gives $\frac{1}{W} = \frac{7}{200}, \frac{1}{M} = \frac{1}{100}$ . Then $\frac{2}{W} + \frac{1}{M} = \frac{14}{200} + \frac{2}{200} = \frac{16}{200}$ . Days $= \frac{200}{16} = 12.5$ .

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