Question

P can do a job in 15 days in how many days can P and Q together complete the job if Q is twice as fast as p
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Answer 1

Step-by-step explanation:

P can do a job in 15 days.

It is given that Q is twice as fast as P.

Q can do a job in 15/2 days.

No. of days taken by P and Q to complete the job = 1/(1/15+2/15) =1/(3/15) = 5 days. Hope it helps you.

Answer 2

In 5 days, P and Q together complete the job if Q is twice as fast as p

Solution:

Given that,

P can do a job in 15 days

Q is twice as fast as p

Therefore,

$\text{ Q can do a job in } = \frac{15}{2} = 7.5\ days$

How many days can P and Q together complete the job

$Together\ complete\ job = \frac{AB}{A+B}$

Where,

A is the days taken by P

B is the days taken by Q

Thus,

$Together\ complete\ job = \frac{15 \times 7.5}{15+7.5}\\\\Together\ complete\ job = \frac{112.5}{22.5}\\\\Together\ complete\ job =5$

Thus in 5 days, P and Q together complete the job if Q is twice as fast as p

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