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November 15th, 2018, 10:38 AM  #11  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,981 Thanks: 994  Quote:
b = boys = 270, g = girls = 225 3/4 * b = 202.5, 5/6 * g = 187.5 : 202.5 + 187.5 = 390 The closest to 390 that will result in integer results is 364 and 416. 364: b = 252, g = 210 : 3/4 * 252 = 189, 5/6 * 210 = 175 : 189+175 = 364 416: b = 288, g = 240 : 3/4 * 288 = 216, 5/6 * 240 = 200 : 216+200 = 416  
November 15th, 2018, 11:45 AM  #12 
Member Joined: Aug 2018 From: Nigeria Posts: 73 Thanks: 2 
Please hint me on the others...

November 15th, 2018, 02:11 PM  #13 
Global Moderator Joined: Dec 2006 Posts: 20,303 Thanks: 1974 
2. Y takes 2 hours 30 minutes to reah P, so X takes 2 hours 5 minutes to reach P. Hence X has an average speed of 72km/h. 3. In 6 days, they do 6/15 of the work, leaving 9/15 of the work to be done in 30 days by A. Hence A would need 30 × 15/9 days = 50 days to do the job on his own. 

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