Question
Three containers have their volumes in the ratio 3: 4:
5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of 4:1, 3:1 and 5:2 respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container isSolution
Let the volumes be 3x,4x, and 5x respectively. Container with volume 3x: Milk = (4/4+1)*3x = 12x/5 Water = (1/4+1)*3x = 3x/5 Â Container with volume 4x: Milk (3/3+1) *4x= 12x/4 Water = (1/3+1) *4x = 4x/4 Â Container with volume 5x: Milk (5/5+2) *5x = 25x/7 Water = (2/5+2) *5x = 10x/7 Â Total milk = 12x/5+ 12x/4 + 25x/7 = 314x/35 Â Total water = 3x/5+ 4x/4 + 10x/7 = 106x/35 Â The ratio of milk to water in the 4th container = 314x/35: 106x/35 =157:53
A boat covers 315 km upstream in 7 hours and 525 km downstream in 7 hours. Find the time taken by the boat to cover 420 km in still water.
A boat takes 12 hours longer to cover 378 km upstream than it does to cover the same distance downstream. The speed of the stream...
A submarine can travel a certain distance downstream in 4 hours and the same distance upstream in 8 hours. If the submarine's speed in still water is 12...
The speed of a boat in still water is 6 km/hr more than that of the current. The time taken by the boat to cover 825 km downstream is 16.5 hours. Find t...
The speed of the stream is 10 km/h. Boat ‘A’ covers 150 km distance against the stream in 6 hours and boat ‘B’ covers 108 km distance against th...
Speed of a boat in still water is three times the speed of the boat in upstream. If the boat takes 40 minutes to cover 15 km in downstream, then find th...
A boat moves upstream at 18 km/hr. If it covers 270 km downstream in 5 hours, determine the speed of the current.
The downstream speed of a boat is 22 km/hr, and its upstream speed is 14 km/hr. Determine the time required for the boat to trave...
A man can go on a motor boat with a speed of 15 km/hour in still water, he goes to a certain distance upstream and come back to the starting point in a ...
"The boat's downstream and upstream speeds are 18 km/hour and 12 km/hour, respectively. A boatman takes 16 hours to cover (p + q)...
Relevant for Exams:
