The length and breadth of a rectangular field are in the ratio of 3 : 2 . If the perimeter of the field is 80 m, its breadth (in meters) is: 

Reshma covers 45 km at a speed of 15 km/h by bicycle, 80 km at a speed of 40 km/h by car, and another 6 km at a speed of 2 km/h on foot. Find her average speed for the whole journey (correct to 2 decimal places).

Kundan, Dharma and Guard start a venture together. Dharma and Guard invest 4,000 and 3,000 respectively while Kundan invests 1,000 initially and after 6 months withdraws his capital and decides to work as working partner with 30% stake in the profit. If Kundan gets 800 at the end of the year, what was the total profit? 

$$ { \sqrt{(0.798)^2+0.404×0.798+(0.202)^2}+1=?} $$

If angle bisector of a triangle bisects the opposite side, then what type of triangle is it?

In triangle ABC, F is the centroid. If AB=11 cm, BC=14 cm and AC=7 cm, then what is the value (in cm) of EF?

A container contains a mixture of acid and water in which water is 24%. If 50% of the mixture is taken out in which water is 156 liters less than the acid, then find the remaining quantity of acid in that container?

Find the distance between the point (-6, 7) and the point (-1, -5).