Advertisements
Advertisements
Question
Anil can do a piece of work in 5 days and Ankur in 4 days. How long will they take to do the same work, if they work together?
Advertisements
Solution
\[\text{ Time taken by Anil to do the work = 5 days } \]
\[\text{ Time taken by Ankur to do the work = 4 days } \]
\[ \therefore \text{ Work done by Anil in 1 day } = \frac{1}{5}\]
\[\text{ Work done by Ankur in 1 day } = \frac{1}{4}\]
\[ \therefore \text{ Work done by Anil and Ankur in one day } = \frac{1}{5} + \frac{1}{4}\]
\[ = \frac{4 + 5}{20} = \frac{9}{20}\]
\[\text{ Thus, Anil and Ankur can do the work in } \frac{20}{9} \text{ days i } . e . 2\frac{2}{9} \text{ days } \]
RELATED QUESTIONS
In Question 2 above, if 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800 mL of base?
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the length of the shadow cast by another pole 10 m 50 cm high.
Complite the following table given that x varies directly as y .
| x | 4 | 9 | ... | ... | 3 | ... |
| y | 16 | ... | 48 | 36 | ... | 4 |
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 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?
8 men can do a piece of work in 9 days. In how many days will 6 men do it?
If 12 boys earn Rs 840 in 7 days, what will 15 boys earn in 6 days?
If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2.5 kilograms?
When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.
Many schools have a recommended students-teacher ratio as 35:1. Next year, school expects an increase in enrolment by 280 students. How many new teachers will they have to appoint to maintain the students-teacher ratio?
