In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?
25 : 21
Let t be the time taken by two persons A and B to complete the race. B start the race 45 metres ahead of A and A wins the race while B is 35 metres behind A. Now we will find the speed of both persons A and B in the race which is 500meters as: Speed of person A in the race will be 500/t Speed of person B in the race will be 500-45-35/t = 420/t since A finishes the race when B runs 80 meters less than A. So the ratio of speeds among A and B will be 500/t : 420/t which is 500/420 and further reducing will have 25/21
Important Questions from Ratio and proportion
A sum of Rs. 2,500 is distributed among X, Y and Z in the ratio 1/2 : 3/4 : 5/6 . What is the difference between the maximum share and the minimum share?
In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?
How many different sums can be formed with the denominations Rs. 50, Rs. 100, Rs. 200, Rs. 500 and Rs. 2,000 taking at least three denominations at a time?
The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)
A class starts at 11:00 am and lasts till 2:27 pm. Four periods of equal duration are held during this interval. After every period, a rest of 5 minutes is given to the students. The exact duration of each period is:
