CUET UG 2025 — General Test Arithmetic

Ram's work rate = $\dfrac{1}{10}$101​ of the work per day

Anshu's work rate = $\dfrac{1}{20}$201​ of the work per day

Combined rate when working together:

$$\dfrac{1}{10} + \dfrac{1}{20}$$101​+201​

$$= \dfrac{2}{20} + \dfrac{1}{20}$$=202​+201​

$= \dfrac{3}{20}$=203​ of the work per day

---

Let the total time taken = $x$x days

For $(x - 2)$(x−2) days: Both Ram and Anshu work together

For the last 2 days: Only Anshu works alone

---

Work done by both together = $(x - 2) \times \dfrac{3}{20}$(x−2)×203​

Work done by Anshu alone = $2 \times \dfrac{1}{20}$2×201​

$$= \dfrac{2}{20}$$=202​

$$= \dfrac{1}{10}$$=101​

Total work must equal 1:

$$(x - 2) \times \dfrac{3}{20} + \dfrac{1}{10} = 1$$(x−2)×203​+101​=1

---

$$(x - 2) \times \dfrac{3}{20} = 1 - \dfrac{1}{10}$$(x−2)×203​=1−101​

$$(x - 2) \times \dfrac{3}{20} = \dfrac{9}{10}$$(x−2)×203​=109​

$$x - 2 = \dfrac{9}{10} \times \dfrac{20}{3}$$x−2=109​×320​

$$x - 2 = \dfrac{180}{30}$$x−2=30180​

$$x - 2 = 6$$x−2=6

$x = 8$x=8 days

---

Therefore, the work was completed in 8 days.