Question
A is cycling at an average speed of 24 km/hr such that
he can reach a certain point at 12 noon. If he cycles at 40 km/hr, then he will reach the destination at 10 a.m. At what speed he should cycle to reach the destination at 11 a.m.Solution
Let the distance to be travelled be ‘x’ km Time taken when speed is 24 km/hr = (x/24) hours Time taken when speed is 40 km/hr = (x/40) hours According to the question, (x/24) – (x/40) = 2 Or, 5x – 3x = 2 × 120 Or, 2x = 240 km Or, x = 120 km Time taken to travel 120 km with speed of 24 km/hr = 120/24 = 5 hours Therefore, he started at 12 – 5 = 7 a.m. Therefore, required speed to reach the destination at 11 a.m. or 4 hours = 120/4 = 30 km/hr
- Determine the remainder when
When a number is divided by 29 remainder is 18. Find the remainder when eight times of the same number is divided by 29.
16Â Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â Â Â Â Â 1.5Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â Â Â Â Â 1.875
...Find the difference between minimum and maximum value of 'd' such that '7d5289' is always divisible by 3.
What least number must be added to 6834 to get a number exactly divisible by 18?
When the digits are swapped, the new two-digit number equals 44 less than 120% of the original. The sum of the digits is 13. Determine the original number.
How many numbers in the range from 300 to 900 are divisible by 7, 14, and 28?
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?
- If 246x179y is divisible by 72, find the value of (x + 2y).
Two numbers are in the ratio 3:5. If the larger number is increased by 20 and the smaller number is decreased by 4, then the larger number becomes three...
