Question
'P', 'Q', and 'R' can
individually complete a task in 20, 24, and 30 days, respectively. They all started working together, but 'P' stopped after 4 days. Additionally, 'R' stopped working 3 days prior to the task's completion. How many days did it take to finish the task?Solution
ATQ,
Let the total task = 120 units (LCM of 20, 24 and 30) Amount of task done by P alone in one day = 120/20 = 6 units Amount of taskĀ done by Q alone in one day = 120/24 = 5 units Amount of taskĀ done by R alone in one day = 120/30 = 4 units Amount of taskĀ done by all of them together in 4 days = 4 Ć (6 + 5 + 4) = 60 units Amount of taskĀ done by Q alone in 3 days = 3 Ć 5 = 15 units Amount of taskĀ done by Q and R together in middle = 120 ā 60 ā 15 = 45 units Time taken by Q and R together to complete 45 units taskĀ = 45/ (5 + 4) = 45/9 = 5 units So total time taken to complete the task = 5 + 4 + 3 = 12 days
Which Indian public sector unit (PSU) secured orders worth over ā¹11,000 crore for thermal power projects?
What does 'L1' in ISRO's Aditya-L1 mission mean?
Assess the accuracy of these statements about the Nirbhaya Fund:
(I) The Nirbhaya Fund is used to fund women's safety and security initiatives.
Which new category has been introduced under the Pradhan Mantri Mudra Yojana to cover loans between ā¹10 lakh and ā¹20 lakh?
Which of the following countries has awarded Narendra Modi with the "Order of St Andrew the Apostle?"
When is World Day for Safety and Health at Work observed?
Where is the headquarters of the Asia-Pacific Economic Cooperation located?
Special Drawing Rights (SDRs) is the unit of account of which of the following international financial organisation?
Shivalik hills is the other name of
Where was the second annual session of the Indian National Congress held?
Relevant for Exams:
