Question
Ram needs to travel from point A to point B. If he
travels at a speed of 24 km/h, he arrives 2.5 hours later than expected. On the other hand, if he increases his speed to 40 km/h, he arrives 30 minutes ahead of schedule. Can you determine the distance between point A and point B?Solution
Let the distance between points 'A' and 'B' = 'd' km Let the usual time taken to travel from point 'A' to point 'B' be 't' hours Then, (d/24) = t + 2.5 Or, t = (d/24) - (5/2) And, (d/40) = t - (30/60) Or, t = (d/40) + (1/2) Or, {(d - 60)/24} = {(d + 20)/40} Or, {(5d - 300)/120} = {(3d + 60)/120} Or, 5d = 3d + 360 So, d = 360 ÷ 2 = 180 Therefore, distance between points 'A' and 'B' = 180 km
Four years ago, the total age of Riya and Samarth was 56 years. At present, the ratio of their ages is 3:5. What will be Samarth’s age six years from ...
Novita's current age is 37.5% greater than Suzuka's, with a difference of 15 years between their ages. Calculate the ratio of Novita's age to Suzuka's a...
At present, Rahul and Rajat have ages in a 7:5 ratio. Anirudh age is 3 years less than Rahul and Sneha age is 5 years more than Rajat If the average cur...
The current ages of 'Aman' and 'Bhanu' are in the ratio 2:5, respectively. 'y' years ago, the age of 'Bhanu' was twice the age of 'Chinky,' while 'y' ye...
The present age ratio of X to Y's age five years ago is 7:9. Ten years from now, the combined ages of Y and Z will total 115 year...
What is A's present age, if after 15 years his age will be 5 times his age 7 years back?
- The ratio of the ages of a teacher and a student is 5:2, respectively. If the difference between their ages is 18 years, then find the age of the student.
- Eight years ago, the ratio of ages of 'L' and 'M' was 5:6. Ten years from now, their ages will be in the ratio 7:8. Find the present age of 'T' who is 4 ye...
The average age of 26 children and their teacher's age are 22 years. If the teacher's age is excluded, the average reduces by 1. What is the teacher's age?
At a family event, the present ages of Mira and Junaid are in the ratio of 2:5. Moreover, Imran is 7 years younger than Mira. Twelve years ago, Imran's ...