Solve the following mathematics problems:

A alone can do a piece of work in 30 days, while B alone can do it in 15 days and C alone can do it in 10 days. If in every second day B and in every third day C help A in doing the work, how many days still be required to complete the whole work?

Created: 3 months ago | Updated: 3 months ago

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LCM of 2 and 3 is 6

Work done in first 6 days = $(\frac{6}{30} + \frac{3}{15} + \frac{2}{10}) = \frac{6 + 6 + 6}{30} = \frac{18}{30} = \frac{4}{15}$

Remaining work = $(1 - \frac{3}{5}) = (\frac{5 - 3}{5}) = \frac{2}{5}$

Next 3 days work done by them= $(\frac{3}{30} + \frac{1}{15} + \frac{1}{10}) = \frac{3 + 2 + 3}{30} = \frac{8}{30} = \frac{4}{15}$

Remaining work after 9 days = $(\frac{2}{5} - \frac{4}{15}) = (\frac{6 - 4}{15}) = \frac{2}{15}$

In 10^th days, B will help A, thus work done by them after 9 days= $(\frac{1}{30} + \frac{1}{15}) = \frac{1 + 2}{30} = \frac{3}{30} = \frac{1}{10}$

Remaining work= $(\frac{2}{15} - \frac{1}{10}) = (\frac{4 - 3}{30}) = \frac{1}{30}$

In 11^th days, A alone can do $\frac{1}{3}$ part of work which is the amount of remaining work.

Total 11 days will be required to complete the whole work. ans.

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simplify: $\frac{5 x + 2}{x^{2} - x - 20} + \frac{2 x - 1}{x^{2} - 4 x - 5}$

Created: 3 months ago | Updated: 3 months ago

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Solve the following mathematical problems:

In a survey at an airport, 55 travelers said that last year they had been to Spain, 53 to Fr and 79 to Germany, 18 had been to Spain and France, 17 to Spain and Germany and 2 France and Germany, while 10 had to all three countries. How many travelers took part survey?

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Solve the following mathematical problems:

A shopkeeper sells two shirts at the same price. He makes 10% profit on one and loses 10 the other. How much in percentage does he gain or lose?

Created: 3 months ago | Updated: 3 months ago

Job Solution Agrani bank Ltd Agrani Bank Ltd. Recruitment Test for Senior Officer (Auditor) Examination Held On: 19.01.2018 || 2018 গণিত

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Solve the following mathematical problems:

The length of a tangent from a point A at distance 5cm from the center of the circle is 4cm. Find the radius of the circle

Created: 3 months ago | Updated: 3 months ago

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Solve the following mathematical problems:

Find the H.C.F. of $x^{3} - 16 x, 2 x^{2} + 9 x^{2} + 4 x, 2 x^{3} + x^{3} - 28 x$

Created: 3 months ago | Updated: 3 months ago

Job Solution Agrani bank Ltd Agrani Bank Ltd. Recruitment Test for Senior Officer (Auditor) Examination Held On: 19.01.2018 || 2018 গণিত

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Solve the following mathematics problems:

A alone can do a piece of work in 30 days, while B alone can do it in 15 days and C alone can do it in 10 days. If in every second day B and in every third day C help A in doing the work, how many days still be required to complete the whole work?

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