Arithmetic

Time & Work

Easy

A can finish a work in 16 days and B can do same work in half the time taken by A. Then, working together, what part of same work they can finish in a day ?

$\frac{3}{8}$

$\frac{3}{32}$

$\frac{3}{16}$

$\frac{3}{40}$

✅ Correct Option: 3

A's rate $=\frac{1}{16}$ per day. B takes 8 days, so B's rate $=\frac{1}{8}$ . Combined $=\frac{1}{16}+\frac{2}{16}=\frac{3}{16}$ of work per day.

2023: 7 June Shift 1

A, B and C can do a work in 10, 12 and 15 days respectively. In how many days will the work be completed if B is assisted by both A and C on every third day ?

2023: 19 June Shift 1

The ratio of working efficiency of A and B is 4 : 5. If A alone completes the work in 15 days then in how many days can B alone complete the work ?

2022: 6 Aug Shift 1

P, Q and R can complete a work in 12, 9 and 15 days respectively. Working together, they will complete the same work in:

2026: 26 May Shift 1

A is twice as good a worker as B, and together they finish a piece of work in 16 days. In how many days will A alone finish the work?

2023: 1 June Shift 1

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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 ?

A can finish a work in 16 days and B can do same work in half the time taken by A. Then, working together, what part of same work they can finish in a day ?

Solution

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