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elena55 [62]
3 years ago
7

A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work? (

i dont get this one, please explain :)
Mathematics
1 answer:
vivado [14]3 years ago
5 0

Answer:

35 days

Step-by-step explanation:

A = 14 days

It means per day, work done by A= 1 / 14

A+B = 10 days

Work done by A and B per day = 1 / 10

In what time can B alone do the work?

To solve this, we have

A+B = A alone + B alone

1/10 = 1/14 + B alone

Subtract 1/14 from both sides

1/10 - 1/14 = 1/14 + B alone - 1/14

14-10/140 = B alone

4/140 = B alone

B alone= 1 / 35

Work done of B alone = 1/35

B alone will do the work in 35 days

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