Question
The ratio of the distances traveled by a boat in
upstream and downstream is 6:7, respectively, and the total time taken to cover the desired distance is 73 hours. Given that the speed of the current is 40 km/h, which is 8 km/h less than the speed of the boat in still water, determine the distance traveled by the boat upstream.Solution
ATQ, Let the distance covered by the boat in upstream be ‘6a’ km and the distance covered by boat in downstream be ‘7a’ km. Speed of the boat in still water = 40 + 8 = 48 km/h According to question, {(6a/(48 – 40)} + {7a/(48 + 40)} = 73 Or, (6a/8) + (7a/88) = 73 Or, (73a/88) = 73 Or, a = 88 Distance travelled by the boat in upstream = 6a = 528 km
Pipes A and B can fill an empty tank in 20 hours and 24 hours, respectively, while pipe C can drain the full tank in "x" hours. If all three pipes (A, B...
Two inlet pipes 'A' and 'B' can fill an empty tank in 30 minutes and 40 minutes, respectively. Another outlet pipe 'C' can empty the tank in 120 minutes...
A, B and C are three pipes connected to a tank. A and B together fill the tank in 30 hours, B and C together fill the tank in 40 hours. A and C together...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 30 minutes and 10 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
Two pipes M and N can fill a tank in 20 hours and 30 hours respectively. The pipes were opened together, but pipe N stopped working after sometime and t...
Pipe Y is 25% less efficient than pipe X. Together, pipes X and Y can fill a tank in 15 minutes. Pipe Z alone can empty the tank ...
In how many minutes can the faster Tap alone fill the tank, if Tap P and Q, working together, can fill the tank in 45 minutes and Tap P is three times f...
Tap A and Tap B fill a drum of volume 483 liters in 21 minutes. If their efficiencies are in the ratio x:y respectively and B alone takes to fill the ci...
- Pipe 'A' can fill a tank in 12 hours. Pipe 'B' is ____% as efficient as pipe 'A'. If both pipes are opened simultaneously, the tank will be completely full...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 18 minutes and 16 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
Relevant for Exams:
