1.A boatman rows 2 kilometers against the stream in 1 hour and covers 1 kilometer downstream in 10 minutes. How much time will he require to travel 5 kilometers in still water?
2.A man rows at a speed of 7.5 km/h in still water. He notices that rowing downstream takes him twice as long as rowing upstream. What is the speed of the current?
3.A man rows 0.75 kilometers upstream in 11 minutes and 15 seconds, and returns downstream covering the same distance in 7 minutes and 30 seconds. What is his speed in still water?
4.A boat travels 6 km in one hour when there is no current. However, it takes three times longer to cover the same distance going against the current. What is the speed of the current?
5.A boat takes 8 hours and 48 minutes to travel a certain distance upstream and 4 hours to cover the same distance downstream. What is the ratio of the boat's speed to the speed of the current?
6.A man rows his boat in a river and takes 3 hours to cover 3 km against the current or 15 km with the current. What is the velocity of the river's current?
7.A man rows at a speed of 5 km/h in still water. If the river current flows at 1 km/h, and it takes him 75 minutes to row to a destination and return, what is the distance to that destination?
8.A runs at a speed 1 2/3 times faster than B. If A allows B a head start of 80 meters, what should be the distance to the finish line so that both A and B arrive simultaneously?
9.In a 100-meter sprint, runner A finishes 25 meters ahead of runner B, and runner B finishes 4 meters ahead of runner C. By how many meters does runner A beat runner C in the same race?
10.In an 80-point game, player P can give 16 points to player Q, and player R can give 20 points to player P. How many points can player R give to player Q in a 150-point game?
11.If runner X covers 48 meters while runner Y covers 42 meters in the same time, by how many meters will X win in a 1-kilometer race?
12.In a 300-meter race, runner A finishes 22.5 meters ahead of runner B and beats B by 6 seconds. What is the total time taken by runner B to complete the race?
13.In a billiards match, player A can give player B a 20-point advantage in a 60-point game, and A can also give player C a 30-point advantage in the same 60-point game. How many points can B give C in a 100-point game?
14.In a 1000-meter race, A finishes 100 meters ahead of B. In an 800-meter race, B finishes 100 meters ahead of C. How many meters will A win by against C in a 600-meter race?
15.Runner A completes a 1-kilometer race in 4.5 minutes, whereas runner B finishes the same race in 5 minutes. What distance advantage should A give B at the start so that they both finish simultaneously?
16.In a 1-kilometer race, runner A finishes 50 meters ahead of runner B and beats B by 10 seconds. How long does A take to complete the race?
17.In a 1,000-meter race, runner A can give B a 100-meter head start and C a 200-meter head start. What distance advantage can B provide to C in the same race?
18.A mixture contains 80% milk by weight. If 36 grams of pure milk is added to 180 grams of this mixture, what will be the new percentage of milk in the resulting mixture?
19.A container holds a mixture of milk and water in the ratio 4:5. When 8 litres of milk are added, the container becomes full, and the new ratio of milk to water changes to 6:5. What is the total capacity of the container?
20.In what proportion should rice priced at Rs. 6 per kg be blended with rice priced at Rs. 8.75 per kg to create a mixture costing Rs. 7.50 per kg?