Solution for yesterday’s problem
If peter takes ‘t’ hours John takes t-3 hours
Also, as John is twice efficient he takes half the time to complete the same work. Therefore, t = 2(t-3) => t = 6 hours.
So, John takes 3 hours and Peter takes 6 hours.
Together they take 6*3/(6+3) = 2 hours; ab/(a+b)
Today’s problem
A can do a work in 18 days, B in 9 days, and C in 6 days. A and B start the working together and after 2 days C joins them. What is the total number of days taken to finish the work?
Published by mathivananpalraj
Mathivanan Palraj works at Fastrac Center for Competitive Studies (Self employed), Ernakulam, Kerala, South India. He did his Bachelor of Science (Mathematics) at Madurai-Kamaraj University. He worked in a public sector bank for some time as an officer and then got through civil services exam. At Fastrac, he prepares students for various jobs and admission tests. On Sundays, he goes to a community center to teach study skills for schoolchildren. He strongly believes that he can improve a person’s intelligence through his ‘smartbrains’ program. He is doing a research to find out whether this can be achieved through simple arithmetic, logical, and verbal tests. His research shows positive results.
His teaching profession began in 2000 after a stint in a public sector bank and in government. After setting up Fastrac, he also took up a part-time faculty position at the Institute of Management Studies (IMS), Kochi and thereafter at T.I.M.E., Kochi. He has been teaching problem solving, data sufficiency and verbal reasoning to students for various management admission tests.
Encouraged by students and peers, he began writing a book on problem solving techniques. The book took shape in 2010 and finally published in 2015 in Amazon Kindle: GMAT, Problem Solving Techniques for Top-Score. His second book, GMAT: Problem Solving Techniques-II, 101 Selected Problems for Top Score, has also been published in Amazon KDP.
He also writes articles and publishes in Ezinearticles (Mathivanan+expert). You can also view his articles in his blogs: 1) views2life.blogspot.in 2) focus2india.blogspot.in.
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