Arithmetic

Time & Work

Medium

A can do a work in 36 days, while B can do the same work in 48 days. If A works for x days while B works for x + 2 days, then one-third of the work is completed. Find the value of x?

✅ Correct Option: 2

A's one-day work is $\frac{1}{36}$ and B's is $\frac{1}{48}$ .

$\frac{x}{36} + \frac{x+2}{48} = \frac{1}{3}$ .

Multiplying by 144: $4x + 3(x+2) = 48 \Rightarrow 7x + 6 = 48 \Rightarrow x = 6$ .

2026: 30 May Shift 1

A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?

2026: 21 May Shift 1

A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same work?

2026: 14 May Shift 2

A completes a work in 7 days. B completes the same work in 9 days. What will be the time taken in completing the same work if both A & B work together?

2026: 29 May Shift 1

A, B and C can complete a work in 7 days. If A and B complete the work together, they take 10 days. How much time will C take in completing the work alone ?

2023: 5 June Shift 2

Three men can complete a work in 6 days and 5 women can complete the same work in 18 days. In how many days can 4 men and 10 women together complete the same work ?

2025: 3 June Shift 1

X, Y and Z together can do a piece of work in 16 (4/11) days. X and Y together can do the same work in 20 days. In how many days will Z alone finish the 60% of the work?

A can do a work in 36 days, while B can do the same work in 48 days. If A works for x days while B works for x + 2 days, then one-third of the work is completed. Find the value of x?

Solution

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