Question
Speed of a boat in still water is 3 times more than the
speed of stream. If boat covers 90 km in downstream in 6 hours, then find the time taken by the boat to cover 63 km in upstream.Solution
Let the speed of stream be ‘x’ km/hr. So, speed of boat in still water = 4 × x = 4x km/hr Downstream speed of boat = 4x + x = 5x km/hr According to question; 5x = 90/6 = 15 Or, x = 3 Upstream speed of the boat = 4x – x = 3x = 3 × 3 = 9 km/hr Required time taken = 63/9 = 7 hours
A milk seller assures that he sells at cost price but delivers 900 ml of a mixture that contains 180 ml of water. What percentage...
What is the % increase in the total number of shoes sold by Seller 'C' over the four days compared to the total number sold by Se...
A group of 30 students has an average score of 60 in an exam. If 5 more students join the group and their average score is 70, find the new average scor...
The average height of a basketball team consisting of 18 players is 185 cm. If the height of the coach and the assistant coach is...
A sphere has a diameter of 10 cm. A cone with a height of 10 cm and a radius of 5 cm is removed from the sphere. What is the volume of the remaining solid?
Let A = {10, 20, 30} and B = {5, 10, 15}. Which of the following relations from A to B is onto?
Two individuals, P and Q, set off from points X and Y simultaneously, moving toward each other. P travels at a speed of 60 km/h, while Q moves at 40 km/...
The set of all bijective functions from a finite set A to itself forms:
The ages of two siblings, John and Mary, are in the ratio of 5:3. Five years ago, the sum of their ages was 38 years. What are their current ages?
In an exam Dinesh scored 362 marks and Shivam got 68 % marks in the same exam which is 12 marks more than Dinesh. If the minimum passing marks in the ex...