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04 Jul 2022, 18:45
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BrentGMATPrepNow
BrentGMATPrepNow
Thank you for this helpful explanation. I would be so appreciative if you can correct me as to where I am making an error in setting up my rt=d chart below to solve this problem.
R * T = D
-----------------------------------------------
Ben: (20 mi/hr) (T +3) = D
Al: (40 mi/hr) T = D
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I wasn't sure what to set D equal to, but I know that the combined distance was 240 but just left each equation equal to D above. But, I am not sure where I went wrong based on what else I have.
=(60 mi/hr)*(2T+3)=240
--> t=1/2 is my answer based on how I set up my chart.
Thank you for your time and help in advance.
04 Jul 2022, 18:56
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woohoo921
woohoo921
You asked Brent, but I notice what you're not doing, so I hope neither of you minds me chiming in.
You've set up an equation to find Ben's distance and an equation to find Al's distance. You called them both D, but they are not the same; you may have been more accurate to call them something like Dben and Dal. Anyway, the two distances combine to be 240 miles. So you have (20)(T+3)+(40)(T) = 240. From there, you get 20T+60+40T = 240. So 60T = 180, or T = 3. That's the amount of time Al drove. he started at 11am. 11am + 3 hours = 2pm. Make sense?
04 Jul 2022, 19:38
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ThatDudeKnows
Thank you so much for your response! I truly appreciate it.
To clarify, what if they had different distances such as Ben's distance was 130 and Al's distance was 180. Would you add across the r*t=d chart like I did above to get (60 mi/hr)*(2T+3)=130+180 ? Or, would it still be (20)(T+3)+(40)(T) = 130 + 180.
In other words, I was confused as to how to order my operations for the r*t=d chart above when you combine the rates.
Thank you so much for your response! I truly appreciate it.
To clarify, what if they had different distances such as Ben's distance was 130 and Al's distance was 180. Would you add across the r*t=d chart like I did above to get (60 mi/hr)*(2T+3)=130+180 ? Or, would it still be (20)(T+3)+(40)(T) = 130 + 180.
In other words, I was confused as to how to order my operations for the r*t=d chart above when you combine the rates.
04 Jul 2022, 19:50
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woohoo921
If you look back at the original question, we were actually never told that their distances were equal. They ended up being equal, but there was nothing until after we'd already answered the question that told us that! Your method was a-okay except that the two "D"s were not necessarily the same distance and you never added them together to get to 240.
Try tweaking the original question by changing "a combined total of 240 miles" to "a combined total of 180 miles" and see if you can derive (1) the time and (2) the distances that each driver traveled.
