Question
upstudy study bank question image url

Going against the current, a boat takes 6 hours to make a 120 -mile trip. When the boat travels with the current on the return trip, it takes 5 hours. What is the rate of the boat in still water? 2 mph 22 mph 20 mph

Ask by Gray Norton. in the United States
Feb 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The boat's speed in still water is 22 mph.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

To tackle this problem, let’s break it down! When the boat is going against the current, it has to fight against the water, making its effective speed slower. If we call the boat's speed in still water "b" and the current's speed "c," the equation for the trip against the current (120 miles) is: **b - c = 20 mph** (since 120 miles / 6 hours = 20 mph). On the return trip with the current, the effective speed becomes faster: **b + c = 24 mph** (120 miles / 5 hours = 24 mph). Solving these two equations gives us the boat's speed in still water: **b = 22 mph**! So, pack your bags, because this boat isn't just floating around! To avoid confusion with similar problems, ensure you clearly define your variables. Remember that the speed of the current can affect your effective traveling speed! Always write down your equations, double-check your calculations, and don’t forget to convert time as needed. A little bit of organization can lead you to victory!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy