M can do a piece of work in 40 days. He works at it for 5 days and then N alone finishes the remaining work in 42 days. The two together could complete the work in how many days?

Created: 5 months ago | Updated: 2 weeks ago

Job Solution Premier Bank Ltd Premier Bank Ltd. || TJO (24-01-2020) || 2020 গণিত

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M can do in 5 days = $\frac{5}{40}$ = $\frac{1}{8}$ Part of the work

Remaining work = (1 - $\frac{1}{8}$ ) = ( $\frac{8 - 1}{8}$ ) = $\frac{7}{8}$ Part

Now, N does $\frac{7}{8}$ Part of the work in = 42 days

$∴$ 1 or complete part of the work done by N in = ( $\frac{42 \times 8}{7}$ )=48 days

Now, (M+N)'s 1 day's work = ( $\frac{1}{40} + \frac{1}{48}$ )= $(\frac{88}{40 \times 48}) = \frac{11}{240} p a r t$

They together do $\frac{11}{240}$ part of the work in =1 day's

$∴$ They I or complete part of the work in = $\frac{240}{11}$ = 21 $\frac{9}{11}$ days

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ABC is triangle in which AB = 3 cm, BC= 5 cm and AC = 4 cm. AD is a perpendicular from A to BC. Find the length of AD.

Created: 5 months ago | Updated: 2 weeks ago

Job Solution Premier Bank Ltd Premier Bank Ltd. || Junior Officer (2019) || 2019 গণিত

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The ratio of the ages of a man and his wife is 4 : 3. After 4 years, the ratio will be 9:7. If at the time of marriage the ratio was 5: 3, then how many years ago were they married?

Created: 5 months ago | Updated: 2 weeks ago

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A trader, while selling an item, was asking for such a price that would enable him to of, a 20% discount and still make a profit of 30% on cost. If the cost of the item was Tk. 50 what was his asking price?

Created: 5 months ago | Updated: 2 weeks ago

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$i f x + y = a, x^{2} + y^{2} a n d x^{3} + y^{3} = c^{3} t h e n s h o w t h a t a^{3} + 2 c^{3} = 3 a b^{2}$

Created: 5 months ago | Updated: 2 weeks ago

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Solve the following Problem:
The average age of a committee of 8 members is 40 years. A member aged 55 years retired and his place was taken by another number aged 39 years. What will be the average age of the present committee?

Created: 5 months ago | Updated: 2 weeks ago

Job Solution Premier Bank Ltd Premier Bank Ltd. || Trainee Junior Office (Cash) (20-03-2021) || 2021 গণিত

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M can do a piece of work in 40 days. He works at it for 5 days and then N alone finishes the remaining work in 42 days. The two together could complete the work in how many days?

Related Questions

ABC is triangle in which AB = 3 cm, BC= 5 cm and AC = 4 cm. AD is a perpendicular from A to BC. Find the length of AD.

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$i f x + y = a, x^{2} + y^{2} a n d x^{3} + y^{3} = c^{3} t h e n s h o w t h a t a^{3} + 2 c^{3} = 3 a b^{2}$

Solve the following Problem:
The average age of a committee of 8 members is 40 years. A member aged 55 years retired and his place was taken by another number aged 39 years. What will be the average age of the present committee?