Two pipes A and B can fill 20 gallons and 30 gallons of water in one hour respectively and the third pipe C can empty ‘x’ gallons of water in an hour. If all the three are opened together, the tank gets filled in 15 hours, and when pipe A and B are opened together the tank gets filled in 12 hours, then find how much gallons of water are drained by pipe C in an hour?
Three workers Trump, Putin and Jinping are appointed to do a job. They together started the job but Jinping left after 3 days when 37% of the job was done. The remaining job was completed by Trump and Putin in 7 days. The ratio of efficiency of Trump and Putin is 4 : 5. Find the number of days required by the slowest worker to complete the entire job alone?
JK and his business partner JP started a joint venture company with initial investment in the ratio of 7 : 2. The company earned equal income for the first and second year and the profit is divided equally between them every year. To equalise the initial investment JP had to pay his entire share of income for the 1st year and half his share of income in the 2nd year. Find the ratio of initial investment to total income.
The ratio of speeds of a tiger and horse is 3 : 2. Both start from place A at the same time and reach place B, which is 75 km away from place A at the same time as the tiger lost about 12.5 minutes while hunting a deer. Find the speed of the horse.
The ratio between the present ages of Amon and Chan is 3 : 4. The ratio of Bevan’s age after 5 years to Chan’s age 1 year ago is 4 : 3 and four times the difference in ages of Chan and Amon is one more than the age of Bevan. Find the average of the present ages of Amon and Chan.