Question
A boat travels downstream at a speed that is (13/12)
times its speed in still water. If the boat takes 3 hours to cover 132 km going upstream, how long will it take to travel 208 km downstream?Solution
Let the downstream speed of the boat and speed of the boat in still water be 13x km/hr and 12x km/hr, respectively Therefore, speed of the stream = downstream speed - speed of boat in still water Or, speed of stream = 13x - 12x = 'x' km/hr And, upstream speed of the boat = 12x - x = 11x km/hr Or, 11x = 44 Or, 'x' = 4 So, downstream speed of the boat = 13x = 13 X 4 = 52 km/hr Required time = 208 ÷ 52 = 4 hours
More Boats and streams Questions
- There are 80 students in a school team, where the number of girls is 16 more than the number of boys. If 50 more students join the team, out of which 60% a...
- A cyclist rode for 4 hours at a constant speed of 'x' km/h and then for 6 hours at a speed of (x - 10) km/h. If his average speed during the entire journey...
- 'N' is the largest three-digit number which leaves 5 as a remainder when divided by 6, 9, and 15. What is the smallest number that needs to be added to 'N'...
A shopkeeper can make a profit of 30% by selling an article for Rs. 390. If he wants to make a profit of 50% even after allowing a discount of 25%, then...
- Priya needs to travel from town 'X' to town 'Y'. If she drives at a steady speed of 60 km/h, she arrives 36 minutes early. However, if she drives at 40 km/...
- The ratio of M to N is 4:9, and that of N to O is 3:2. If the difference between O and M is 60, what is the total of M, N, and O?
- Suppose 6A = 8B = 15C, then find the value of (A:B:C) .
- A swimmer decided to swim for 8 hours. He swims 8 laps in an hour. He takes a break of 20 minutes after every hour. How many laps does he complete in 8 hou...
- A boat’s speed in still water is to the stream’s speed as 7:2. If the boat covers 50.4 km downstream in 96 minutes, find its upstream speed.
- Pipe ‘P’ alone can fill a tank in 12 minutes. If pipes ‘P’ and ‘Q’ are operated together, they fill the tank in 16 minutes. Find the time taken...
Relevant for Exams:
