Question
A woman must travel 500 km in 10 hours. If she traveled
the first 30% of the journey at a constant speed of 50 km/h, at what speed must she travel the remaining distance so that she finishes the journey on time?Solution
ATQ, 30% of 500 = 150 km Time taken to travel 150 km = 150 ÷ 50 = 3 hours Remaining distance = 500 - 150 = 350 km Remaining time = 10 - 3 = 7 hours So, speed at which remaining distance is to be traveled = 350 ÷ 7 = 50 km/h
If the area of square is 196 cm²  and the breadth of rectangle is 25% more and the length is 40% more than the side of the square, then find the the a...
If x = (√5-√3) / (√5+√3) and y is reciprocal of x. then what is the value of √(x3 + y3)?
The measure of the two times of supplement of an angle is 40° less than 7 times the measure of the complement of the same angle. Find the measures of t...
A sold a mobile phone to B at a gain of 25% and B sold it to Cat a loss of 10%. If C paid 5625 for it, how much did A pay (in) for the phone?
The volume of a cuboid whose length, breadth, and height are in the ratio 5:3:2, respectively, is 3,000 cm³. Find the lateral surface area of the cuboi...
The weight of a cubic metre metal is 1215 kg. It is melted and cast into a square rod of 9m length. A solid cube of maximum size is taken out from one e...
A wire is moulded into a circle of radius 21m. Then the wire is bent and shaped into a rectangle of length 36 m. Find the area of the rectangle thus for...
The length of a cuboid is increased by 20%, its breadth is increased by 15% and its height is decreased by 10%. Find the percentage change in its volume.
The area of a square is 2116 square metres. The breadth of a rectangle is half of the side of the square and the length of the rectangle is thrice its b...
The lateral surface area of a regular tetrahedron is 75√3 cm². Determine the volume of the tetrahedron.
Relevant for Exams:
