Time and Work Practice Test 1 with solutions

Question : 24 of 40

Marks: +1, -0

A does

4/5

of a work in 20 days. He then calls in B and they together finishing the remaining work in 3 days. How long B alone would take to do the whole work?

Solution:

A's 1 day's work =

4/{5×20}

1/{25}

After 20 days, remaining part of work = 1 –

4/5

1/5

, which will be done by both in 3 days.
Let, B can finish the work in x days, then,

3(1/{25}+1/x)

1/5

⇒

1/x

1/{15}-1/{25}

2/{75}

∴ x =

{75}/2

37 1/2

days.

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