Question
25 men can complete a piece of work in 13 days. One man
starts the work and after every day one more man joins the work and this continues till the work is completed. Then, in how many days will the work be completed?Solution
Let 1 day work of 1 man = 1 units So total work = 25 ×13 = 325 units Suppose after n days work is finished. So, 1 + 2 + ………… +n = 325 ⇒ (n(n+1))/2 = 325 n² + n – 650 = 0 n² + 26n – 25n – 650 = 0 n(n + 26 ) – 25(n + 26) = 0 (n - 25) (n + 26) ∴ n = 25 Hence, the work will be finished in 25 days.
Where is the headquarters of INCOIS located?
The number of villages connected to high-speed internet through BharatNet is approximately:
The United Nations World Tourism Organization (UNWTO) nominated which of the following Indian villages for the year 2021 as the “Best Tourism Vill...
Which instrument on the Aditya-L1 mission recorded its first science result by observing a coronal mass ejection (CME) on July 16, 2024?
Which two companies have partnered to achieve 100 % solarisation of government buildings across India under the PM Surya Ghar Yojana by December 2025?
According to a Delhi-based think tank, where does India rank in terms of digitalization at the level of individual users among the G20 countries?
Which of the following is NOT a property of magnetic lines of force?
Which of the following statements is/are correct regarding India's oil imports from Russia?
1. India has become the world's largest importer of R...
Which country has become India's biggest Oil exporter in the month of May?
Which institute has collaborated with FedEx Express to set up the ‘FedEx Centre of Excellence (CoE) for Smart and Sustainable Supply Chains with an ai...
Relevant for Exams:
