Question

a take 3 days b take 4 days c take 6 days respectively to complete a work how many days will it take if they do ir together ​

Answer 1

✬ Time = 3/4 days ✬

Step-by-step explanation:

Given:

• Time taken by A to complete work = 3 days.
• Time taken by B to complete work = 4 days.
• Time taken by C to complete work = 6 days

To Find:

• If they work together then work will be completed in how many days ?

Solution: Work done by A in 1 day = 1/3

➨ Work done by B in 1 day = 1/4

➨ Work done by C in 1 day = 1/6

∴ Work done by (A + B + C) in one day -

$\implies{\rm }$ (1/3 + 1/4 + 1/6)

$\implies{\rm }$ (4 + 3 + 2/12)

$\implies{\rm }$ 9/12

$\implies{\rm }$ 3/4

$\implies \: 1 \frac{1}{3}$

Hence, in 3/4 days the work will be completed if they all work together.

Answer 2

✬ Time = 3/4 days ✬

Step-by-step explanation:

Given:

Time taken by A to complete work = 3 days.

Time taken by B to complete work = 4 days.

Time taken by C to complete work = 6 days

To Find:

If they work together then work will be completed in how many days ?

Solution: Work done by A in 1 day = 1/3

➨ Work done by B in 1 day = 1/4

➨ Work done by C in 1 day = 1/6

∴ Work done by (A + B + C) in one day -

⟹ (1/3 + 1/4 + 1/6)

⟹ (4 + 3 + 2/12)

⟹ 9/12

⟹ 3/4

⟹1 31

Hence, in 3/4 days the work will be completed if they all work together.