Fundraise on MathsGee
First time here? Checkout the FAQs!
x

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

1 like 0 dislike
315 views
At 11:00 a.m., John started driving along a highway at constant speed of 50 miles per hour. A quarter of an hour later, Jimmy started driving along the same highway in the same direction as John at the constant speed of 65 miles per hour. At what time will Jimmy catch up with John?
in Mathematics by Platinum (130,878 points) | 315 views

1 Answer

1 like 0 dislike
Best answer
Let \(\mathrm{t}\) be the number of hours, from 11:00 am, when Jimmy catches up with John. The time that Jimmy will have to drive to catch up with John is \(\mathrm{t}-1 / 4\) : he starts a quarter of an hour late. Whe Jimmy catches up with John, they would have traveled the same distance. Hence \(50 t=65(t-1 / 4)\)
Solve for \(t\)
\(50 t=65 t-65 / 4\)
\(t=65 / 60=1.083\) hours \(=1\) hour and 5 minutes
Jim will catch up with John at
11:00 am \(+1\) hour, 5 minutes \(=12: 05 \mathrm{pm}\)
by Platinum (130,878 points)

Related questions

0 like 0 dislike
1 answer
1 like 0 dislike
1 answer
0 like 0 dislike
1 answer

Join the MathsGee Learning Club where you get study and financial support for success from our community. CONNECT - LEARN - FUNDRAISE


On the MathsGee Learning Club, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Start a Fundraiser


5. Tip your favourite community member(s)


6. Create Live Video Tutorials (Paid/Free)


7. Join Live Video Tutorials (Paid/Free)


8. Earn points for participating



Posting on the MathsGee Learning Club


1. Remember the human


2. Behave like you would in real life


3. Look for the original source of content


4. Search for duplicates before posting


5. Read the community's rules




CLUB RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.


MathsGee Android Q&A