In a tank of capacity 4200 liters, a total of 7 pipes are attached. Some of them fill the tank at 4 liters per minute while others at 11 liters per minute. It takes a total of 1 hour and 40 minutes to fill the tank if all pipes are opened. How may pipes have a rate of flow of 4 liters per minute?
1). 2
2). 3
3). 4
4). 5
Suppose N pipes have a rate of flow of 4 liters per minute.
⇒ Remaining (7 – N) pipes have a rate of flow of 11 liters per minute.
It takes a total of 1 hour and 40 minutes to fill the tank if all pipes are opened, i.e, 100 minutes.
⇒ [4N + 11(7 – N)] × 100 = 4200
⇒ (77 – 7N) = 42
⇒ N = 35/7 = 5
∴ 5 pipes have a rate of flow of 4 liters per minute.