Maths-
General
Easy
Question
A can do a piece of work in 40 days and B in 45 days. They work together for 10 days and then B goes away. In how many days will A finish the remaining work?
Hint:
Hint:
When two quantities of different units are compared and expressed as a ratio, it is known as Rate. For example, a car travels at a speed of 100 kilometres per hour, then it means in one hour it covers 100 kilometres.
The correct answer is: 21 1/9 days.
Let’s say that the total work can be represented as W and let’s say the amount of work that A can do in one day is WA and the amount of work that B can do in one day is WB.
Step 1 of 3:
It is given that A can do the whole work(W) in 40 days.
So, work done by A in one day (WA)=
……(1)
It is given that B can do the whole work(W) in 45 days.
So, work done by B in one day (WB)=
……(2)
Step 2 of 3:
It is given that A and B worked together for 10 days and then B goes away.
So, work done by A and B in 10 days = WA
10 + WB
10
= ![W over 40](data:image/png;base64,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)
10 +
10
= ![17 over 36 W](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACsAAAAjCAYAAAANDvOtAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAi1JREFUeNrVmE9Eg2Ecxx+T6ZCYZNIhkkmSXdIhk9Ehs0MiyWQSkx0yXTqlazqkQ5dMp2R0SGYmOsx0Gkk6JJEO6ZDoMMlMrN+P76vH49mfVvY8+/JR7/M+a9+9/f49E6K2fMQmcVPlfqUOLdUREWvijeeJpDCk35j1EpdEZzuYTRN+YVCNml1FjAvbzQ4QBaKjHczmiaCwQJUGsj8rLFEtsy7i3nRSNWp2FiEg2sFsili2xWS9FvpKeJr42w9EjyakMpq9w9hvTGlN9Vgiipq9+8S6SbMnRFhZu4ZZl7TWRbzhpzEdouQ5ChAXKIGj0nqC2DWdD9yWo9J1BmGRUp44l8Uh02Y5PreludmZmZO4x5ohzpsZpP+KqjmEgpNAzlNeI3bwOxudsqEs8lM7Rvl6lJJqAUM/P+07WxoNx+EZsUVsSOthlDVOqrgtZt0oVU9KWRoh3olnk6cNnb6kJJM/REWzblz8BPs16yUM8w0piOL8iRdyX97T9HJH4+hIRexPtzKLcygtbmnNX6XmxWDOh+tuIoITrlGpQwYnw5WwUINofbIOiEWbTHoxXHPchpR7bL7PxsE7USVrOVZPkYxlhEXElGkPzlkFTYZXUNhD+L6AW+Yk/gtGu08XDKsJp6uTXDleTIdGSbnOKlO9rLJJo2OaQ1scU5LugFdolbE8jhxOHAYxcEQ1fZz3roif77gmiFtiulVmAzhmlEBOc7hz1Ivp/gODSR6v/3d9A1j8m5BU9GPfAAAAbnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+MTc8L21uPjxtbj4zNjwvbW4+PC9tZnJhYz48bWk+VzwvbWk+PC9tYXRoPsIM1sEAAAAASUVORK5CYII=)
Work left for A after B goes away = W - work done by A and B in 10 days
= W - ![17 over 36 W](data:image/png;base64,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)
= ![19 over 36 W](data:image/png;base64,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)
Step 3 of 3:
From equation (1) time taken by A to complete
work = 1 day
time taken by B to complete ![19 over 36 W equals fraction numerator 1 over denominator W over 40 end fraction cross times 19 over 36 W equals 190 over 9 text days end text equals 21 1 over 9 text days. end text](data:image/png;base64,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)
Final Answer:
Hence, the time taken by B to complete the work after A after 2 days is
days.
Related Questions to study
Maths-
A and B can do a piece of work in 20 days and B in 15 days. They work together for 2 days and then A goes away. In how many days will B finish the remaining work?
A and B can do a piece of work in 20 days and B in 15 days. They work together for 2 days and then A goes away. In how many days will B finish the remaining work?
Maths-General
Maths-
Simplify![fraction numerator 1 over denominator 2 plus square root of 5 end fraction plus fraction numerator 1 over denominator square root of 5 plus square root of 6 end fraction plus fraction numerator 1 over denominator square root of 6 plus square root of 7 end fraction plus fraction numerator 1 over denominator square root of 7 plus square root of 8 end fraction](data:image/png;base64,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)
Simplify![fraction numerator 1 over denominator 2 plus square root of 5 end fraction plus fraction numerator 1 over denominator square root of 5 plus square root of 6 end fraction plus fraction numerator 1 over denominator square root of 6 plus square root of 7 end fraction plus fraction numerator 1 over denominator square root of 7 plus square root of 8 end fraction](data:image/png;base64,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)
Maths-General
Maths-
A and B can finish a work in 20 days. A alone can do 1/5th of the work in 12 days. In how many days can B alone do it?
A and B can finish a work in 20 days. A alone can do 1/5th of the work in 12 days. In how many days can B alone do it?
Maths-General
Maths-
8 bags of cattle feed are needed to feed 4 cows for 2 months. How long will the same feed last to feed 6 cows?
8 bags of cattle feed are needed to feed 4 cows for 2 months. How long will the same feed last to feed 6 cows?
Maths-General
Maths-
A and B can polish the floors of a building in 10 days. A alone can do ¼th of it in 12 days. In how many days can B alone polish the floor?
A and B can polish the floors of a building in 10 days. A alone can do ¼th of it in 12 days. In how many days can B alone polish the floor?
Maths-General
Maths-
A, B and C can reap a field in 15 ¾ days; B, C and D in 14 days; C, D and A in 18 days; D, A and B in 21 days. In what time can A, B, C and D together reap it?
A, B and C can reap a field in 15 ¾ days; B, C and D in 14 days; C, D and A in 18 days; D, A and B in 21 days. In what time can A, B, C and D together reap it?
Maths-General
Maths-
A rope makes 260 rounds of a cylinder with a base radius 20 cm. How many times can it go round a cylinder with a base radius 26cm?
A rope makes 260 rounds of a cylinder with a base radius 20 cm. How many times can it go round a cylinder with a base radius 26cm?
Maths-General
Maths-
A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. How much time will A alone take to finish the work?
A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. How much time will A alone take to finish the work?
Maths-General
Maths-
A and B can do a piece of work in 18 days; B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?
A and B can do a piece of work in 18 days; B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?
Maths-General
Maths-
A, B and C working together can do a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?
A, B and C working together can do a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?
Maths-General
Maths-
If
find the values of ![x squared plus 1 over x squared](data:image/png;base64,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)
If
find the values of ![x squared plus 1 over x squared](data:image/png;base64,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)
Maths-General
Maths-
Approximate the following irrational numbers to the nearest whole number.![square root of 18](data:image/png;base64,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)
Approximate the following irrational numbers to the nearest whole number.![square root of 18](data:image/png;base64,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)
Maths-General
Maths-
Sita can finish typing a 100 page document in 9 hours, Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together?
Sita can finish typing a 100 page document in 9 hours, Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together?
Maths-General
Maths-
A man working 8 hours a day takes 5 days to complete a project. How many hours a day must he work to complete it in 4 days?
A man working 8 hours a day takes 5 days to complete a project. How many hours a day must he work to complete it in 4 days?
Maths-General
Maths-
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, what is the number of revolutions made by the larger wheel?
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, what is the number of revolutions made by the larger wheel?
Maths-General