Math, asked by vermanaresh789, 2 months ago

C.
31 days
129. A can do a piece of work in 5 hours, B in 9 hours. and c in 15 hours If C
for one hour only, how long would A and B take to do the worked with them
work together ?
4 hrs
b. 31 hours
a.​

Answers

Answered by anitadevi23480
0

Step-by-step explanation:

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Answered by negivardhan993
1

Explanation:

Time taken by A to do the work = 5 hours

Work done by A in 1 hour

 =  \frac{1}{5}

Time taken by B to do the work = 9 hours

Work done by B in 1 hour

 =  \frac{1}{9}

Time taken by C to do the work = 15 hours

Work done by C in 1 hour

 =  \frac{1}{15}

Therefore, remaining work

 = 1 -  \frac{1}{15}  =  \frac{14}{15}

Work done by A and B together in 1 hour

 =  \frac{1}{5}  +  \frac{1}{9}  =  \frac{9 + 5}{45}

 =  \frac{14}{45}

Therefore, time taken by A and B to do the remaining work

 =  \frac{14}{15}  \div  \frac{14}{45}  =  \frac{14}{15}  \times  \frac{45}{14}

 = 3 \: days

Answer: 3 days

I hope this helps. :)

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