Question
There are 3 inlet and (z-1) outlet pipes attached to a
tank. Each inlet pipe takes 40 hours to fill the tank, and each outlet pipe empties the fully filled tank in 16 hours. If all the pipes are opened together, the tank gets filled in 20 hours. Find the value of 'z'.Solution
ATQ, Total work = 80 units (LCM of 40 and 16) Inlet efficiency = 2 units Outlet efficiency = -5 units Total efficiency of inlet = 3 × 2 = 6 units Total efficiency of outlet = -5 (z – 1) = (-5z + 5) units ATQ: => (6 - 5z + 5) × 20 = 80 => (11 - 5z) = 80/20 => 11 - 5z = 4 => -5z = 4 - 11 => -5z = -7 => z = 7/5
- If ‘A’, ‘B’ and ‘C’ are in proportion in the given order while ‘A’ = 12 and ‘B’ = 36, then find the value of ‘C’.
6 years ago ratio of the ages of the two persons A and B was 5:3. 3 years hence the ratio of their ages will be 4:3. Find the present age of B.
Rs.14400 was divided among A, B and C in the ratio 3:4:5. B kept Rs.1000 for himself, gave Rs.800 to his mother and divided the remaining money among hi...
Find 'X' if the below three numbers are in proportion.
2.6, 1.3, X
50 litres of a mixture of milk and water contains 14 litres more milk than water. 8 litres water is added to it. The ratio of milk to water in the new m...
Find the fourth proportion of (3k - 5), (6k - 10) and (9k - 15). (Note: 'k' is the largest single-digit prime number.)
Some amount was divided among A, B and C in the ratio 3:5:8. If the share of A is 40 less than share of C, then find the 1/4th of total amount (in Rs).
In a class, the ratio of number of boys to number of girls is 7:5. If 1 boy joined the class and 1 girl left the class, then the ratio becomes 5:3. Find...
The ratio of the incomes of Vineet and Vidya is 8:3 respectively. Vineet saves 30% of his income while Vidya saves 20% of his income. The sum of their e...
A seller sells 2 watches at 8%and 15% discount each. Total marked price of both the items are Rs 2100. Find the difference between marked price of both ...
