Question
The speed of a car is 30% more than that of a bike. Both
of them start from a same point. After travelling for 7 hours, the speed of the bike is increased by 35%. After 9 hours from starting, the car was 50 km ahead of the bike. Find the initial speed of the bike.Solution
Let the initial speed of the bike be ‘x’ km/hr Therefore, speed of the car = 1.30x km/hr According to the question, 9 × 1.30x – (7x + 2 × 1.35x) = 50 => 11.7x – 9.7x = 50 => x = 50/2 = 25 km/hr
A farmer has some chickens and some cows. Find out the total number of chickens if the total number of heads is 50 and the total number of feet is 160. ...
Find the LCM of x2Â - 3x + 2 and x2Â - 5x + 6
The difference between the squares of two numbers is 184, and their sum is 46. What is the larger number?
Insert correct pair of arithmetical symbols respectively in the equation for it to be a correct equation.
8 ? 4 ? 2 = 16
...An article with cost price of Rs. 300 is marked (50/3)% above its cost price and sold after a discount of 20%. Find the overall profit/loss in the trans...
The sentence below has a word in which the letters are jumbled up. Rearrange the letters of that word, written in capital letters, to form the correct w...
If a sum invested at compound interest of 25% p.a., compounded annually becomes Rs. 18,750 after 2 years, then find the sum invested.
Out of 700 students in school, 42% students like samosa only and 10% students like samosa and momos both. If 20% students don’t like any snacks then f...
If in the number 86548246, 3 is subtracted to first four digit of the number and 1 is added to rest of the digits then how many digits are repeating in ...
- The sum of the present age of 'T' and 'O' is 60 years. The ratio of the age of 'T' and 'O' before 10 years is 3:5 respectively. Find the age of 'O' after 1...