A man can swim at the rate of 3 km/hr. in still water. Then, if speed of the stream is 2 km/hr., then in what time he will cover a total distance of 5 km in with the stream and against the stream?

P and Q can do a piece of work in 12 days, Q and R can do a piece of work in 15 days and R and P can do a piece of work in 20 days. Q alone can do the whole work in

Waking 3/4 of his normal speed, a man is 24 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and office:

Two pipes A and B can fill a tank in 3 hours and 5 hours. Then, if all three are open, the tank is filled in 30 hours. Find in how many hours a third pipe will empty the tank?

The ratio of the length of the parallel sides of a trapezium is 3: 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm.2, the semi-sum of the length of the parallel sides is

A vacuum cleaner was marked at 30% above the cost price and a discount of 24% was given on its marked price. What is the profit/loss percentage?

A can do a work in 6 days and B can do the same work in 12 days. If A, B and C together can do the same work in 4 days, then in how much days C can do it alone?

The sum of squares of three numbers is 532. And the ratio of first to the second as also of the second to the third is 3:2. What is the second number?