A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return to the same spot. find the speed of the stream.

A train travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. find the original speed of the train.

O Girl! out of a group of swans, 7/2 times the square root of the number are playing on the shore of a tank. the two remaining ones are playing in the water. what is the total number of swans?

in an auditorium, seats are arranged in rows and columns. the number of rows was equal to the number of seats in each row. when the number of rows was doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. find the number of rows in the original arrangement. find the number of seats in the auditorium after re-arrangement.

A cottage industry produces a certain number of pottery articles in a day. it was observed on a particular day that the cost of production of each article was 3 more than twice the number of articles produced on that day. if the total cost of production on that day was Rs. 90, find the number of articles produced and the cost of each article. how the cottage industries are useful for the uplift of villagers?

At t minutes past 2 pm, the time needed by the minute hand of a clock to show 3 pm was found to be 3 minutes less than t square /4 minutes. find t.

if Zeba were younger by 5 years than what she really is , then the square of her age would have been 11 more than five times her actual age. what is her age now?

thee diagonal of a rectangular field is 60 metres more than the shorter side. if the longer side is 30 metres more than the shorter side, find the sides of the field.