Question
Find the radius of the incircle of an equilateral triangle
whose height is given to be 3√3 cm.Solution
ATQ,
Altitude = (√3a/2)
⇒ (√3a/2) = 3√3
⇒ a = 6 cm
Inradius = a / (2√3) = 6 / (2√3) = 3 / √3 = √3 cm
‘A’ alone can complete a work in 40 hours. ‘A’ started the work alone and left after working on it for 20 hours. If ‘B’ completed the rest o...
- Sanya can finish a task by herself in 20 days, while when working together, Riya and Sanya can complete the same task in 10 days. Riya starts the work alon...
Two men A and B started a job in which A was thrice as good as B and therefore took 60 days less than B to finish the job. How many days will they take ...
Three men and 4 women can do a piece of work in 7 days, whereas 2 men and I woman can do it in 14 days. Seven women will complete the same work in:
Armaan and Bhanu jointly received Rs. 9,000 for completing a task, with Bhanu's share being Rs. 3,000. If Bhanu can complete the work on his own in 48 d...
Sudhanshu completes `1/3` of work in 12 days, then he completes the remaining work with the help of Neeraj in 4 days. The time required for Neera...
36 men can complete 3/5 part of a work in 8 days working 9 hours a day. How many women can complete rest of the work if they work for 6 hours a day for ...
A and B are capable of completing a project individually in 40 days and 50 days, respectively. Initially, A and B collaborated on the project, and after...
A and B can complete a piece of work in 12 days and 16 days respectively. They work together for 4 days, and then A leaves. How many more days will B ta...
Time taken by 'A', 'B' and 'C' to complete a work is 51 days, 85 days and 102 days respectively. All of them started the work together but 'B' and 'A' l...
