Question

If Bill gives Peter an hour's head start, he overtakes him when they havew both walked...

If Bill gives Peter an hour's head start, he overtakes him when they havew both walked 12km. If peter wlaks at twice his normal speed, he can give bill an hours' head start and overtake him when they have walked 24km. Find the speed at which both Bill and Peter walked. (Assume they each walk at a constant speed).

Homework Answers

Answer #1

Let Bill and Peter be walking at x and y kph respectively. Then Bill walks 12 km in 12/x hour and Peter walks 12 km in 12/y km. Since Petr had an hour’s headstart over Bill , hence 12/x = (12/y)-1 or, 12/y = (12/x)+1…(1).Further, If Peter walks at 2y kph, then he can walk 24 km in 24/2y or, 12/y hour. Also, Bill walks 24 km in 24/x hour. Now, since, this time, Bill had an hours' head start over Peter, hence 12/y = (24/x)-1…(2). From these 2 equations, we get (12/x)+1 = (24/x)-1 or, (12+x)/x = (24-x)/x or, 12+x = 24-x or, 2x = 24-12 = 12 so that x = 12/2 = 6. On substituting x = 6 in the 2nd equation, we get 12/y = (24/6)-1 = 3 or, 3y = 12 so that y = 4.

Thus Bill and Peter are walking at 6 and 4 kph respectively.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Mitch and Bill are both age 75. When Mitch was 24 years​ old, he began depositing...
Mitch and Bill are both age 75. When Mitch was 24 years​ old, he began depositing ​$1300 per year into a savings account. He made deposits for the first 10​ years, at which point he was forced to stop making deposits.​ However, he left his money in the​ account, where it continued to earn interest for the next 41 years. Bill​ didn't start saving until he was 47 years​ old, but for the next 28 years he made annual deposits...
Mitch and Bill are both age 75. When Mitch was 24 years​ old, he began depositing...
Mitch and Bill are both age 75. When Mitch was 24 years​ old, he began depositing ​$1500 per year into a savings account. He made deposits for the first 10​ years, at which point he was forced to stop making deposits.​ However, he left his money in the​ account, where it continued to earn interest for the next 41 years. Bill​ didn't start saving until he was 49 years​ old, but for the next 26 years he made annual deposits...
Businness 201 question John is a 37-year-old Computer Programmer; He commuted to Down Town Brooklyn to...
Businness 201 question John is a 37-year-old Computer Programmer; He commuted to Down Town Brooklyn to work Monday-Friday, and every afternoon; he stops in the local Starbucks to drink his well-deserved Grande Carmel Macchiato Freshly steamed milk with vanilla syrup and espresso, topped with caramel sauce. He also eats at a Big Mac You (and I mean you) are both his Financial Advisor and best friend; as his best friend, you have recommended John to stop drinking coffee and quit...
Adam is a 28-year-old male that was doing home repairs when he fell off the top...
Adam is a 28-year-old male that was doing home repairs when he fell off the top of an 8 foot ladder hitting his head on a large rock. The event was witnessed by a neighbor who reports a loss of consciousness (LOC) for approximately 30 seconds. The patient is now awake with profuse bleeding from a temporal area laceration. 1. Since you can see that the patient is awake and breathing, what are the very first two simultaneous things you...
Assume there are only two goods: wine and cheese, and three different individuals, whose preferences can...
Assume there are only two goods: wine and cheese, and three different individuals, whose preferences can be described as follows: Bob likes both wine and cheese. He has a constant marginal rate of substitution (wine for cheese): he is always willing to give up 1 unit of wine for exactly 2 units of cheese. Jimmy demands specific proportions of wine and cheese: 1 part wine for every 3 parts cheese, and any wine or cheese in excess of that proportion...
QUESTION 1 1.Mr. A is walking down a dark street; he hears footsteps behind him and...
QUESTION 1 1.Mr. A is walking down a dark street; he hears footsteps behind him and sees Mr. B. walking in the same direction. Mr. A, who has been diagnosed as Schizophrenic hears a voice telling him to kill Mr. B. believing that Mr. B intends to harm him, and not knowing right from wrong he pulls out a gun and kills Mr. B. who had done nothing to Mr. A. Mr. A’s defense may claim: Insanity Necessity Justification 4...
Susan Thomas is the vice president for human resources at National Products, a manufacturing company with...
Susan Thomas is the vice president for human resources at National Products, a manufacturing company with 500 employees. The company has an opening for a general manager in one of its product divisions, and the president asked Susan to review the backgrounds of three department managers who are interested in being promoted to this position. She is expected either to recommend one of the three internal candidates or to begin recruitment of external candidates. The internal candidates are Charley Adams,...
When jumping straight down, you can be seriously injured if you land stiff-legged. One way to...
When jumping straight down, you can be seriously injured if you land stiff-legged. One way to avoid injury is to bend your knees upon landing to reduce the force of the impact. A 73.2-kg man just before contact with the ground has a speed of 3.19 m/s. (a) In a stiff-legged landing he comes to a halt in 4.74 ms. Find the magnitude of the average net force that acts on him during this time. (b) When he bends his...
36. When John comes home from work one evening, he finds that the leaves in his...
36. When John comes home from work one evening, he finds that the leaves in his front yard have been raked and put in bags. Later, a man comes to collect for the yard work done. John refuses to pay for the work since he has never seen the man before and did not hire him to do his yard work. Which of the following answers is most accurate? a. This is an implied, unilateral contract and John must pay...
When Howard Schultz founded Starbucks in 1987, he wanted to create a company that would genuinely...
When Howard Schultz founded Starbucks in 1987, he wanted to create a company that would genuinely care for the well-being of its employees. He had been very influenced by his memories of his father, noting that his father “struggled a great deal and never made more than $20,000 a year, and his work was never valued, emotionally or physically, by his employer … This was an injustice … I want our employees to know we value them.” He also believed...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT