Take Class 10 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
Asked by Ashwini Last Modified
Answer 
Let the time taken by the smaller diameter tap be A hours
Let the time taken by the larger diameter tap be A-10 hours
Total time taken with both Taps together= 9 3/8 = 75 /8 hours
Amount filled in one hour by smaller diameter tap = 1/A [use concept of proportions, in A hours it fills 1 complete unit then in 1 hour it will fill 1/A units]
and by larger diamter tap = 1/(A-10) units
As it takes 75/8 hours to fill complete unit .... in 1 hour it will fill 1/(75/8) = 8/75
[1/A] + [1/(A-10)] = 8/75
Take LCM
(A-10+A)/[A*(A-10)] = 8/75
(2A-10)/(A²-10A) = 8/75
8(A²-10A) = 75 ×(2A-10){cross multiply}
8/2 (A²-10A) = 75 (A-5) {taking 2 common and dividing}
4A²-40A = 75A-375
4A² -40A-75A +375 = 0
4A²-115A + 375 = 0
4A²-100A-15A +375 = 0
4A(A-25)-15(A-25)=0
(A-25)(4A-15)
A= 25 hours
or
A= 15/4 hours
If A= 25 hours
then A-10 = 25-10 = 15 hours
if A = 15/4 hours
then A-10 = 15/4 - 10 = 15-40/4 = -25/4 hours which is not possible
since time cannot be negative therefore A = 25 hours
read less
Let the time taken by the smaller diameter tap = x
larger = x-10
total time taken = 75 /8
portion filled in one hour by smaller diameter tap = 1/x
and by larger diamter tap = 1/x-10
1/x + 1/x-10 = 8/75
x-10+x/x(x-10) = 8/75
2x+10/x²-10x = 8/75
8(x²-10x) = 75 ×2 (x-5)
8/2 (x²-10x) = 75 (x-5)
4x²-40x = 75x-375
4x² -40x-75x +375 = 0
4x²-115x + 375 = 0
4x²-100x-15x +375 = 0
4x(x-25)-15(x-25)=0
(x-25)(4x-15)
x= 25
x= 15/4
If x= 25
the x-10 = 25-10 = 15
if x = 15/4
x-10 = 15/4 - 10 = 15-40/4 = -25/4
since time cannot be negative therefore x = 25.
read less
Mandeep Kaur
Computer Programming Languages Trainer (Javascript , Python etc)
Let the time taken by the smaller diameter tap = x
larger = x-10
total time taken = 75 /8
portion filled in one hour by smaller diameter tap = 1/x
and by larger diamter tap = 1/x-10
1/x + 1/x-10 = 8/75
x-10+x/x(x-10) = 8/75
2x+10/x²-10x = 8/75
8(x²-10x) = 75 ×2 (x-5)
8/2 (x²-10x) = 75 (x-5)
4x²-40x = 75x-375
4x² -40x-75x +375 = 0
4x²-115x + 375 = 0
4x²-100x-15x +375 = 0
4x(x-25)-15(x-25)=0
(x-25)(4x-15)
x= 25
x= 15/4
If x= 25
the x-10 = 25-10 = 15
if x = 15/4
x-10 = 15/4 - 10 = 15-40/4 = -25/4
Since ,
Time cannot be negative
Therefore x = 25
read lessView 5 more Answers
Related Questions
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRecommended Articles
Meet Sandhya R, a B.Sc tutor from Bangalore
Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...
Read full article >
Meet Raghunandan.G.H, a B. Tech Tutor from...
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 >
Quest Academy - Institute of the month
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 >
Meet Swati, a Hindi Tutor from Bangalore
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 >
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 youThe best tutors for Class 10 Tuition Classes are on UrbanPro
The best Tutors for Class 10 Tuition Classes are on UrbanPro
6
