These sequences represent distance travelled after n hours where n=0,1,2,...
Leila:0, 24, 48, 72, ...
Josh:0, 0, 36, 72, ...
Looks like four hours is the answer..
Do you follow?
Hi. I'm working on what I think is a rate problem but I'm having trouble defining my variables to solve the problem. Will you please help? I've tried a few things but it's all been junk.
Leila left home at noon, traveling at 24mph. An hour later her brother Josh, driving at 36 mph, set out to overtake her. How long did it take him to meet her?
Thank you so much for your help! My group really appreciates it.
Yes. However, note that the question specifically asked "How long did it take him to meet her?"- that is, how long had he been traveling. Since t was taken to be 0 at noon, an hour before he left, the answer to the question is t- 1.
Because, his travel time is what is asked, I would have said "let t be the time Josh travels, in hours. Then Leila travels for t+ 1 hours. Josh will have traveled 36t miles and Leila 24(t+1). Since they "meet" when they have gone the same distance,
36t= 24(t+ 1)". Solving that for t, you should get 1 less than when you solve skeeter's equation.
Hi Halls of Ivy,
Right! Very Right! We had gone back to read the question before submitting our assignment and did make that correction. We got 2 for the answer, which coincides when you read the series and the question properly.
Thank you so much for reinforcing that!