Learning starts with a question. Asking is a signal for knowledge request!
First time here? Checkout the FAQs!

*Math Image Search only works best with SINGLE, zoomed in, well cropped images of math. No selfies and diagrams please :)

1 like 0 dislike
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 (101k points) | 2.1k 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 (101k points)

Related questions

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

Join MathsGee Q&A, where you get instant answers to your questions from our AI, AstraNova and verified by human experts. We use a combination of generative AI and human experts to provide you the best solutions to your problems.

On the MathsGee Q&A, you can:

1. Get instant answer to your questions

2. Convert image to latex

3. AI-generated answers and insights

4. Get expert-verified answers

5. Vote on questions and answers

6. Tip your favorite community members

7. Join expert live video sessions (Paid/Free)

8. Earn points by participating

9. Take a course

10. Enjoy our interactive learning resources

Posting on the MathsGee Q&A

1. Remember the human

2. Act like you would in real life

3. Find original source of content

4. Check for duplicates before publishing

5. Read the community guidelines

MathsGee Q&A Rules

1. Answers to questions will be posted immediately after moderation

2. Questions will be queued for posting immediately after moderation

3. Depending on the number of messages we receive, you could wait up to 24 hours for your message to appear. But be patient as posts will appear after passing our moderation.

MathsGee Q&A


Social Proof

Web Analytics