Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

A motorboat travels 200 miles in 5 hours going upstream. It travels 260 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?

Sagot :

B= Speed of the boat in the water =46 miles per hour

A= Speed of the Current =6 miles per hour

Speed upstream: B-A

Speed Downstream: B+A

Distance= Speed x time

Upstream :

(B-A) 5 = 200

Downstream:

(B+a) 5 = 260

Simplify both equations:

5B-5A =200

5B+5A =260

Add both equations:

10B = 460

Solve for B

B= 460/10

B= 46 miles/hour

Replace B on any distance equation:

5B-5A =200

5(46)-5A=200

Solve for A

230-5A=200

230-200=5A

30=5A

30/5 =A

A= 6 miles/hour

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.