Question
In a 500-meter race, competitor
'P' runs at a speed of 18 km/h and allows a head start of 25 meters to competitor 'Q,' who eventually beats 'P' by 5 seconds. Determine the speed of 'Q'.Solution
ATQ; Speed of 'P' = (5/18)×18 = 5 m/s Time taken by P to cover 500 metres = 500/5 = 100 sec's Distance travelled by Q = (500 - 25) = 475 metres Time taken by Q to cover 475 metres = (100 - 5) = 95 seconds So, speed of Q = 475/95 = 5 m/s
- A two-digit number has a digit-sum of 9. Subtracting 27 from it gives the number with digits reversed. What is the number?
What is the smallest number that should be added to 673 so that the sum becomes exactly divisible by 9?
There are 8 classrooms, each with an average of 16 students. No classroom has the same number of students, and all classrooms, except the 8th one, have ...
A = (9/4) × B and C = (1/12) × A. If (A + B + C) = 300, then find the value of (12C – B).
What is the value of 1² + 3² + 5² + 7² + 9² ................ 19²?
A waiter income consist of his salary and tips. During one week his tips were 4/5 of his salary. What portion of his income came from tips?
 Find the remainder when x³ + 2x² − 5x + 7 is divided by (x − 2).
If a number is decreased by 8 and divided by 12, the result is 16. What would be the result if 10 is subtracted from the number and then it is divided ...
How many numbers from 1 to 500 (both included) are divisible by both 4 and 6 but not divisible by 8?
Sum of squares of three consecutive numbers is 1325. Find the sum of first and third number.
Relevant for Exams:
