
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 24th, 2017, 12:06 AM  #1 
Senior Member Joined: Apr 2008 Posts: 175 Thanks: 3  another speed problem
Al and Bob, who live in North Vancouver, are Seattle Mariners fans. They regularly drive the 264 km from their home to the ballpark in Seattle. On one particular day, Bob drove to the game. On the return journey, Al was able to increase their average speed by 10% and save 18 minutes on the travelling time. Calculate the average speed when Bob drove to the game. This is how I have attempted it. Let x be the time Bob took to drive to the game and let x18 be the time Al took to drive back home. 264/x=(0.1)(264)/(xeighteen) Solving the equation gives x=20. But the answer key says x=80. I don't get it. Please explain how to do it. Thanks. Last edited by davedave; February 24th, 2017 at 12:10 AM. 
February 24th, 2017, 01:27 AM  #2 
Member Joined: Sep 2016 From: India Posts: 88 Thanks: 30 
Your attempt is wrong. Have a look at the following steps. Let the speed at which Bob drive = $x \;km/p$ Speed of Al will be = $x+10\%$ of $x$ $=x+0.1x\implies1.1x$ Time saved by Al = $18\;min=\dfrac{18}{60}=0.3h$ Time is taken by Bob  Time is taken by Al = $0.3$ $=\dfrac{264}{x}\dfrac{264}{1.1x}=0.3$ $1.1(264)264=0.33x$ $26.4=0.33x$ $x=80$ 
February 24th, 2017, 06:02 AM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,108 Thanks: 684 
b = Bob's speed 264/b  264/(1.10b) = 18/60 Carry on... 
February 24th, 2017, 10:14 PM  #4 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,285 Thanks: 439 Math Focus: Yet to find out.  
February 25th, 2017, 04:27 AM  #5 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,108 Thanks: 684  
February 25th, 2017, 11:02 PM  #6 
Senior Member Joined: Apr 2008 Posts: 175 Thanks: 3 
Thanks a lot, deesuwalka.


Tags 
problem, speed 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Find the ratio of his usual speed to his speed that day.  Chikis  Elementary Math  25  January 31st, 2014 08:48 AM 
Speed Word Problem.  ShaneR  Elementary Math  2  December 28th, 2013 04:32 PM 
Average speed problem  haftakhan  Algebra  1  August 11th, 2011 10:14 PM 
Word speed problem  alikn  Elementary Math  3  December 15th, 2009 02:23 PM 
Speed problem  alikn  Physics  3  October 30th, 2009 03:53 PM 