Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

For a particular delivery, a courier travels by bicycle at a speed of v miles per hour for a distance of 1.3 miles. After making the delivery, the courier travels the same distance back, but travels 2 miles per hour faster than on the way to the delivery. If the courier spent 0.2 hours travelling to and from the delivery, which of the following equations could be used to determine the speed of the bicycle on the way to the delivery?

For a particular delivery, a courier travels by bicycle at a speed of v v miles per hour for a distance of 11.33 miles. After making the delivery, the courier travels the same distance back, but travels 22 miles per hour faster than on the way to the delivery. If the courier spent 00.22 hours travelling to and from the delivery, which of the following equations could be used to determine the speed of the bicycle on the way to the delivery?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Solve system of equations: Complex word problemsright chevron icon

Full solution

Q. For a particular delivery, a courier travels by bicycle at a speed of v v miles per hour for a distance of 11.33 miles. After making the delivery, the courier travels the same distance back, but travels 22 miles per hour faster than on the way to the delivery. If the courier spent 00.22 hours travelling to and from the delivery, which of the following equations could be used to determine the speed of the bicycle on the way to the delivery?
  1. Define Bicycle Speed: Let's call the speed of the bicycle on the way to the delivery vv mph.
  2. Calculate Time to Delivery: The time taken to travel to the delivery at vv mph for 1.31.3 miles is 1.3v\frac{1.3}{v} hours.
  3. Calculate Time on Return Trip: On the way back, the speed is v+2v + 2 mph, so the time taken for the same distance is 1.3v+2\frac{1.3}{v + 2} hours.
  4. Calculate Total Travel Time: The total time spent travelling to and from the delivery is 0.20.2 hours.
  5. Formulate Total Time Equation: The equation for the total time is the sum of the times for each leg of the trip: 1.3v+1.3v+2=0.2\frac{1.3}{v} + \frac{1.3}{v + 2} = 0.2.
  6. Solve for Bicycle Speed: Now we can solve for vv using this equation.

More problems from Solve system of equations: Complex word problems

Question
Solve using substitution. 5x−2y=−7 5x - 2y = -7 x=−5 x = -5 (_,_)
Get tutor helpright-arrow

Posted 2 months ago

Question
Is (1,1)(1,1) a solution to this system of equations? \newline4x+10y=144x + 10y = 14\newlinex+6y=7x + 6y = 7\newlineChoices:\newline(A) yes \newline(B) no
Get tutor helpright-arrow

Posted 2 months ago

Question
Which describes the system of equations below?\newliney=–3x+9y = –3x + 9 \newliney=–3x+9y = –3x + 9 \newlineChoices:\newline(A) consistent and independent\text{(A) consistent and independent} \newline(B) consistent and dependent\text{(B) consistent and dependent} \newline(C) inconsistent\text{(C) inconsistent}
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve using elimination. \newline7x−8y=−17 7x - 8y = -17 \newline −7x+3y=2 -7x + 3y = 2 \newline (____,____)(\_\_\_\_, \_\_\_\_)
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve. \newlinex=−2 x = -2 \newline−2x+2y=−8 -2x + 2y = -8 \newline(____,____)(\_\_\_\_, \_\_\_\_)
Get tutor helpright-arrow

Posted 2 months ago

Question
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineAt a community barbecue, Mrs. Wilkerson and Mr. Hogan are buying dinner for their families. Mrs. Wilkerson purchases 33 hot dog meals and 33 hamburger meals, paying a total of $36\$36. Mr. Hogan buys 11 hot dog meal and 33 hamburger meals, spending $26\$26 in all. How much do the meals cost?\newlineHot dog meals cost $\$_______ each, and hamburger meals cost $\$________ each.
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve the system of equations by substitution.\newline−3x−y−3z=−11-3x - y - 3z = -11\newlinez=5z = 5\newlinex−y+3z=19x - y + 3z = 19\newline(____.____,____)
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve the system of equations by elimination.\newlinex−3y−2z=10 x - 3y - 2z = 10 \newline3x+2y+2z=14 3x + 2y + 2z = 14 \newline2x−3y−2z=16 2x - 3y - 2z = 16 \newline(_,_,_)(\_,\_,\_)
Get tutor helpright-arrow

Posted 1 month ago

Question
Solve the system of equations.\newliney=x2+36x+3 y = x^2 + 36x + 3 \newliney=22x−37 y = 22x - 37 \newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(_,_)(\_,\_)\newline(_,_)(\_,\_)
Get tutor helpright-arrow

Posted 1 month ago

Question
Solve the system of equations.\newliney=−x−24 y = -x - 24 \newlinex2+y2=488 x^2 + y^2 = 488 \newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(_,_) (\_,\_) \newline(_,_) (\_,\_)
Get tutor helpright-arrow

Posted 2 months ago

View all (24)