Question
Asked Nov 10, 2019
65 views

A tank can be filled by 2 water keys together in 3 hours with 3 quarters. The main key would be able to fill it by itself in 4 hours less than the other one. In how many hours can each key fill the tank separately?

check_circle

Expert Answer

Step 1

Given: -

help_outline

Image Transcriptionclose

It is given that a tank can be filled by two water keys in 3 hours and it is also given that main key would be able to fill it by itself in four hours less than the other one

fullscreen
Step 2

To find: -

help_outline

Image Transcriptionclose

The time taken by individual keys

fullscreen
Step 3

Calculation...

help_outline

Image Transcriptionclose

Let the time taken by the key 1 = t Let the time taken by the key 2 = t, According to the question, 15 4t3+ 4 27 t 4 =t, +4 (2) After solving (1) and (2), 27 t4 t 4 _ 27 212 4 11 2t2 4 11 hours

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other