Alcohol and water in two vessels A and B are in the ratio 5:3 and 5:4 respectively. In what ratio, the liquid of in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7:5?

Ratio between speed of boat in still water to speed of stream is 7 : 2. If 126 km is travelled downstream in 3.5 hours then find the difference between speed of boat in still water to speed of stream(in kmph)?

The sum of 17 consecutive numbers is 289. The sum of another 10 consecutive numbers, whose first term is 5 more than the average of the first set of consecutive numbers is:

The average marks of a student in four subjects is 75. If the student obtained 80 marks in the 5^th subject then the new average is ?

380 mangoes are distributed among some boys and girls who are 85 in numbers. Each boys gets four mangoes and each girls gets five. The number of boys is : 

A man left 9 minutes early than the scheduled time and in order to reach the destination 378 km away in time, it has to slow its speed by 6 km/h from the usual. What is the usual speed (in km/hr.) of the man?

Find the inradius of a triangle having sides 13, 14 and 15 units.