Problem: Working together pipe P,R and T can fill a tank in 5 hours. Working together P and R can fill it in 7 hours. Find in how many hours T can Fill it?
View all: BASIC BANK LTD (CASHIR) WRITTEN QUESTION (MATH) SOLVE | 2018
Correct Answer: 17$\frac{1}{2}$ hours
Explanation:
(p + R + T) take 5 hours to fill up 1 tank
So, (P + R + T ) take 1 hour to fill up $\frac{1}{5}$ part of tank
Again. (P + R) take 7 hours to fill up 1 tank
SO, (P + R) take I hour to fill up $\frac{1}{7}$ part of tank
SO, ln 1 hour, T can fill up =($\frac{1}{5}-\frac{1}{7}$ ) = $\frac{7-5}{35}$ = $\frac{2}{35}$ part of tank
Now, $\frac{2}{35}$ pant of tank is filled by Tin 1 hour
so, 1 or complete part of tank is filled by T in = $\frac{35×1}{2}$ = 17$\frac{1}{2}$ hours