Question
A certain mixture consists of oil and water, with the
water content exceeding that of oil by 20%. When 70 ml of oil and 60 ml of water are introduced into the mixture, the ratio of oil to water in the new mixture becomes 11:12. Can you determine the original quantity of water in the mixture?Solution
We can say that let initial quantity of oil in the mixture be ‘a’ ml Initial quantity of water in the mixture = 1.2 × a = 1.2a ml According to question, (a + 70)/(1.2a + 60) = 11/12 12a + 840 = 13.2a + 660 1.2a = 180 a = 150 Initial quantity of water in the mixture = 1.2 × 150 = 180 ml
If a man rows at the rate of 14 kmph in still water and his rate against the current is 5 kmph, then the man’s rate along the current is:<...
Speed of boat is 25 km/hr. Speed of the stream is 20% less than speed of boat. Then find time taken by boat to go 90 km downstream?
The ratio of the speed of boats ‘A’ and ‘B’ in still water is 8:9, respectively. The speed of the current is 25% of the speed of boat ‘A’ in...
A boat travels 240 km upstream in 6 hours and 360 km downstream in 6 hours. How long will it take to travel 300 km in still water?
A boat traveled 100 km downstream. The boat's speed in still water is 30 km/h, and the stream's speed is 10 km/h. Calculate the time required for the bo...
A motor boat goes downstream from point A to B ,which is 36 km away from point A, and then returns to A. If actual speed of the boat in still water is 7...
The speed of current is 10 km/hr. If the speed of the boat in still water had been 8 km/hr more than the original speed, then it would take 7 hours to c...
Speed of a boat in still water is 6 times more than the speed of stream. If boat covers 144 km in downstream in 9 hours, then find the time taken by the...
A man takes 10 hours to row 21 km upstream from point A to point B and back to A by boat. If he takes the same time to row 7 km downstream as upstream. ...
A boat covers a distance of 57 km upstream in 9.5 hours. If the boat's speed in still water had been doubled, it would have taken only 2 hours to cover...