Maths-
General
Easy
Question
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?
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: 13 1/2 days.
Let’s say that the total work can be represented as W.
Step 1 of 3:
It is given that B can do the whole work(W) in 15 days.
So, work done by B in one day =
……(1)
It is given that A and B can do the work in 20 days
So, work done by A and B in one day = ![W over 20](data:image/png;base64,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)
Step 2 of 3:
It is given that A and B worked together for 2 days and then A goes away.
Work done by A and B in 2 days =
= ![W over 10](data:image/png;base64,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)
Work left for B after A goes away = W - Work done by A and B in 2 days
= W - ![W over 10](data:image/png;base64,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)
= W - ![W over 10](data:image/png;base64,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)
Work left for B after A goes away = ![fraction numerator 9 W over denominator 10 end fraction](data:image/png;base64,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)
Step 3 of 3:
Now, we need to find the number of days to complete
amount of work.
From equation (1) time taken by B to complete
work = 1 day
time taken by B to complete
work = ![fraction numerator 1 over denominator W over 15 end fraction cross times fraction numerator 9 W over denominator 10 end fraction equals 27 over 2 text days end text equals 13 1 half 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 13
days.
Related Questions to study
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,iVBORw0KGgoAAAANSUhEUgAAAD8AAAAmCAYAAABzhkOMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAATZJREFUeNpjYBj6QA2Ia4H4AsMIBIuBOA2I/zOMYDDq+VHPj3p+1PM0sQSEfwHxUSBWGYkxzwTEWUB8biQn+x8j1fP2QHxwJHpeEprnlQaBp9ExzdvTW6ABMKIAyMPbgJhvONXFyUDcgUW8GSoHAyCPawzHhgio2hJH4icC8RQq5rFB7XkPIO6Dsl2AeO9Ia4LuhlZhoMEBYRqUxMSmmv80xDhBAbTpqjfSOh/WQLwGmvQjR5LnQY2VTUDMBcQ8QHyGCsl+SHheFFqFIXvWhwEyPjasPc8GxOuAWBqL3HJoDTDU+vWDsctNVzDYutwDAn6MVI8Ppi433Ttgg6HLTXcw2uUeTp6iR5d7UANad7kHNaB1l3vQA2p2uYccoGWXe1ADWne5By2gR5d7UAJ6dbkHHaBZlxsAj+p48P3RLPYAAACkdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtZnJhYz48bW4+MTwvbW4+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PC9tZnJhYz48L21hdGg+3LqjbQAAAABJRU5ErkJggg==)
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
Maths-
Approximate the following irrational numbers to the nearest whole number.![negative square root of 77](data:image/png;base64,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)
Approximate the following irrational numbers to the nearest whole number.![negative square root of 77](data:image/png;base64,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)
Maths-General