A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

Asked by Last Modified  

2 Answers

Learn Mathematics +1

Follow 2
Answer

Please enter your answer

Maths Tutor

let speed of the stream=x km/h speed of boat in still water=18km/h upstream=18-x downstream=18+x distance=24km time=1h time of upstream journey=time of downstream journey+1 24/(18-x)=24/(18+x)=1 solve it then x^2+48x-324=0 x^2+54x-6x-324=0 x(x+54)-6(x+54)=0 (x+54)(x-6)=0 x=-54 or x=6 ans=> x=6 speed...
read more
let speed of the stream=x km/h speed of boat in still water=18km/h upstream=18-x downstream=18+x distance=24km time=1h time of upstream journey=time of downstream journey+1 24/(18-x)=24/(18+x)=1 solve it then x^2+48x-324=0 x^2+54x-6x-324=0 x(x+54)-6(x+54)=0 (x+54)(x-6)=0 x=-54 or x=6 ans=> x=6 speed cannot be negative read less
Comments

Teacher

Let the speed of the stream be x kmph Then - = 1 Or 24(18+x-18+x) / (324-x^2) = 1 Or 24 x 2x = 324-x^2 Or x^2 +48x -324 =0 Ignoring the negative root, this gives x = 6 kmph Ans
Comments

Related Questions

What do you mean by Statistics?
Statistics deals with the collection, classification, analysis, and interpretation of numerical facts or data, and that, by use of mathematical theories of probability, imposes order and regularity on...
Nilesh
What do you mean by sales tax?
For example, if you purchase a new television for Rs. 400 and live in an area where the sales tax is 7%, you would pay Rs. 28 in sales tax. Your total bill would be Rs. 428. It is important to note that...
Neha
Find the mean proportion of 25, 64?
Mean proportion = square root of (25*64) = 40 Ans.
Balaji
1 0
8
Hi, how would I get students to teach?
Best Way to get Students on UrbanPro is , Better Become the Silver Member by Purchasing nearly 500 rs for first 3 months. Then you will be easily getting the Numbers of the Customers/Students According...
S.ataurehman

What parents see in a good teacher,when they hire home tutor for their child's benefit?

 

Parents must ensure the following qualities in the home tutor for their child's benefit - 1. A verified teacher- The tutor should have a valid ID proof and address proof. It ensures safety of child. 2....
Sushma

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Recommended Articles

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you