Solve Math Problem: Time to Fill 425L Tank with Pipes

Click For Summary
SUMMARY

The problem involves filling a 425-liter tank using two pipes with specific operational conditions. The first pipe operates for 5 hours longer than the second pipe. If the first pipe were to operate for the same duration as the second, it would deliver half the amount of water compared to the second pipe. When both pipes are opened simultaneously, the tank fills in 17 hours. The solution reveals that the second pipe was open for 12 hours.

PREREQUISITES
  • Understanding of algebraic equations
  • Knowledge of rates and ratios in fluid dynamics
  • Ability to set up and solve simultaneous equations
  • Familiarity with problem-solving techniques in mathematics
NEXT STEPS
  • Study algebraic problem-solving strategies
  • Learn about rates of work and their applications in real-world scenarios
  • Explore simultaneous equations and their solutions
  • Practice similar tank filling problems with varying conditions
USEFUL FOR

Mathematics students, educators, and anyone interested in solving algebraic word problems involving rates and time.

sumitsawai
Messages
1
Reaction score
0
A tank of 425 litres capacity has been filled using two pipes, the first pipe having been opened 5 hrs longer than the
second.If the first pipe were to
open as long as the second and the second pipe was open as long as the first then the the first pipe would deliver half the
amount of water delivered by
the second pipe;if the two pipes were opened simultaneously,the tank would be filled up in 17 hours.How long was the second
pipe open?
a)10 hrs
b)12 hrs
c)15 hrs
d)18 hrs
 
Mathematics news on Phys.org
hi sumitsawai! welcome to pf! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 


Thats general algebra. Try to change the problem into values maybe helpful - that's what I do.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
6K
Replies
9
Views
2K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
21
Views
9K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
1
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 10 ·
Replies
10
Views
20K