Question
John, Emily, and Michael can each complete a task in 15
days, 20 days, and 18 days, respectively. They decide to work on the task alternately, starting with John, followed by Emily, and then Michael for 15 days. The remaining work is handled by Michael alone. Calculate the total time taken to complete the entire task using this alternating work pattern.Solution
ATQ, Let the total work = 180 units {LCM of 15, 20 and 18} Efficiency of ‘John’ = (180/15) = 12 units/day Efficiency of ‘Emily’ = (180/20) = 9 units/day Efficiency of ‘Michael’ = (180/18) = 10 units/day So, work completed in 3 days = (12 + 9 + 10) = 31 units Work completed in 15 days = 31 × 5 = 155 units Time taken by ‘C’ to complete the remaining work = (180 – 155)/10 = 2.5 days Therefore, total time taken = 15 + 2.5 = 17.5 days
Pinaka II -multiple rocket launched developed by which country?
What is the study of the moon called?
Recently, PM Shri Narendra Modi declared which day as National Startup Day?
Ganga Jatara is a folk festival primarily celebrated in which part of India?
होम रूल लीग किसके द्वारा शुरू किया गया था ?
Which state received the GI tag for Rasabali Sweets of Kendrapada?
The Human Development Index (HDI) is published annually by which organization?
Match the following:
India's first Spice Museum is being set up in which of the following cities to educate tourists about growth and history of Indian spice industry?
Which of these states created a ‘WE-Hub’ for women entrepreneurs
Relevant for Exams:
