Maths-
General
Easy
Question
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?
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: 30 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 alone can do 1/5th of the work in 12 days.
So, Work done by A in one day(WA) =
=
…….(1)
Step 2 of 3:
It is given that A and B can finish a work in 20 days. So we can write
WA
20 + WB
20 = W
Using equation (1)
+ WB = ![w over 20](data:image/png;base64,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)
WB = ![w over 30](data:image/png;base64,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)
Step 3 of 3:
Now, the time taken by B complete
amount of work = 1 day
So, time taken by B to complete W amount of work =
= 30 days
Final Answer:
Hence, the time that will B to complete the whole work is 30 days.
Related Questions to study
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
Maths-
Mohan takes 9 hours to mow a large lawn. He and Sohan together can mow in 4 hours. How long will Sohan take to mow the lawn if he works alone?
Mohan takes 9 hours to mow a large lawn. He and Sohan together can mow in 4 hours. How long will Sohan take to mow the lawn if he works alone?
Maths-General
Maths-
Approximate the following irrational numbers to the nearest whole number. ![negative square root of 39](data:image/png;base64,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)
Approximate the following irrational numbers to the nearest whole number. ![negative square root of 39](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAATCAYAAAA5+OUhAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAaNJREFUeNpjYKAt4AHi/3TANAURQLyfYYiD7UCcMpQ9IALE76H0kAUZQLwei7gjEG8D4m9A/AOIbwHxBCAWxqLWHogPQ9WB1K8BYiV6egKUF0JwiAcBMRuSmAEQ70BT5wbEV4DYFIiZgJgFiJOB+AYQi9PDAwpA/BqIOUjQ8wmNfwZHqIcCcRc9PFEBxLNJUK8EDWFk8AeHWlCsnKOHJ84DsQcR6kDJIhGaL7zQ5O4CsTEWPfLQ/EHVygwd6ADxc2gaxgXQK6sCHMnmPjRzM0GxDzQWfhFrML6aUQWI50PFbNDMaQfifiIDQRCIA4D4JNSx2Eqn/dDSCYRXQe2mSkzUQD0BqgdOocmBQs+EjBg9SaRaDhLUEgWygPgfUpFnAcS3CSQlXOAHkepA9UwztTMxKGqXQdmTgbiBDDP0oJmbGNAKxNLU9sQcIP4ODX1Q3aBBQP1BaKZlgWZWR2gSjEdTtxetUgQ5vBaI/WhRnAoA8V8gXgvEx4lQbwvEW5Ay635oqYMOXKByf6AV4XJojNEMHMZTVA4ZYAr1hMxQ7zuEDJTFAO+Fdm/DN0DTAAAAY3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4tPC9tbz48bXNxcnQ+PG1uPjM5PC9tbj48L21zcXJ0PjwvbWF0aD7JSJtGAAAAAElFTkSuQmCC)
Maths-General