Question
The speeds of Vishank and Karun are 60 km/hr and 90
km/hr. Initially, Karun is at a point P and Vishank is at a place Q. The distance between P and Q is 1350 km. Vishank started his journey 6 hours earlier than Karun to meet each other. If they meet each other at a place R somewhere in between P and Q, then find the distance between R and Q.Solution
In the first 6 hours ,Vishank covers =60kmph × 6hr = 360 km Remaining distance = 1350 – 360 = 990 km Now, Vishank and Karun travels together towards each other. Time = distacne/speed = 990/(90+60) =990/150= 6.6 hours Thus, total time Vishank travels = 6 + 6.6 = 12.6 hours Therefore, distance travelled by Vishank (i,e. distance between R & Q) = 12.6 × 60 = 756 km
The average number of toffees distributed among five boys is 8. If each boy received 1 toffee more than the boy before him, then find the highest number...
The average of 11 observations is 60. If the average of first five observations is 58 and that of last five is 56, the sixth observation is
The number of students in class 'A' is 128, and the ratio of the number of girls to boys is 5:11. If the average number of boys in classes A and B is 14...
There are five containers in a truck hold. The weight of the first container is 100 kg and the weight of the second container is 20% higher than the wei...
Four numbers are arranged in ascending order. When the 1st two numbers are increased by the number equal to their position, and the last two numbers (i....
The mean of a set of 8 numbers is 80. If the average of the first four numbers and the last two numbers is 90 and 60, respectively, and the ratio of the...
There are three numbers 'a', 'b' and 'c' such that average of 'a' and 'b' is 14, average of 'b' and 'c' is 16 and average of 'a' and 'c' is 30. Find the...
Average run scored by a batsman in first ‘x’ matches is 55. In next 12 matches he scored runs with an average of 90 so that his overall average incr...
In a seminar, the average number of male and female attendees is 540. 70% of males and 50% of females are professionals. If there are 588 non-profession...
The average of 8 consecutive even numbers written in ascending order is 17. What is the average of the last three numbers, 36 and 53 ?