Car A trails car B by 150 meters. Car B travels at 50km/hr. Car C travels from the opposite direction at 30km/hr. Car C is at a distance of 320 meters from Car B. If car A decides to overtake Car B before cars B and C cross each other, what is the minimum speed at which car A must travel?
Question
Car A trails car B by 150 meters. Car B travels at 50km/hr. Car C travels from the opposite direction at 30km/hr. Car C is at a distance of 320 meters from Car B. If car A decides to overtake Car B before cars B and C cross each other, what is the minimum speed at which car A must travel?
Solution
To solve this problem, we first need to find out how much time Car B and Car C will take to meet each other.
-
Convert the speeds of Car B and Car C from km/hr to m/s by multiplying by 5/18. So, the speed of Car B is 50*(5/18) = 13.89 m/s and the speed of Car C is 30*(5/18) = 8.33 m/s.
-
The total distance between Car B and Car C is 320 meters. When two objects move towards each other, their relative speed is the sum of their individual speeds. So, the relative speed of Car B and Car C is 13.89 + 8.33 = 22.22 m/s.
-
Time is distance divided by speed. So, the time taken for Car B and Car C to meet is 320 / 22.22 = 14.4 seconds.
-
In this time, Car B will cover a distance of 14.4 * 13.89 = 200 meters (time*speed).
-
But Car A is initially 150 meters behind Car B. So, to overtake Car B, Car A needs to cover a total distance of 150 + 200 = 350 meters.
-
The minimum speed of Car A is therefore 350 / 14.4 = 24.31 m/s.
-
Convert this speed back to km/hr by multiplying by 18/5. So, the minimum speed of Car A is 24.31 * (18/5) = 87.5 km/hr.
So, Car A must travel at a minimum speed of 87.5 km/hr to overtake Car B before Car B and Car C meet.
Similar Questions
Two cars start from A and B and travel towards each other at the speed of 50 kmph and 60 kmph respectively. At the time of their meeting, the second car has travelled 120 km more than the first, the distance between A and B is?3120 kms1320 kms600 kms
Two cars A and B start simultaneously from two different places and travels towards each other. They arrive at their destination after 2 hrs and 3 hrs respectively. If speed of car A is 48 km/hr. what is the speed of car B?Options40 km/hr.32 km/hr.48 km/hr.36 km/hr.
Car A and B start from S and T towards T and S respectively. After passing each other they take 6 hours 40 minutes and three hours45 minutes to reach T and S respectively. If the speed of the car A is 60 km/h, then what is the speed of car B?
Two cars A and B travel from one city to another city, at speeds of 60 km/hr and 108 km/hour respectively. If car B takes 2 hours lesser time than car A for the journey, then what is the distance (in km) between the two cities?Options330270240300
Aptitude:speed and distance [Section 1 of 1] Q16 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 11:44Select the correct answerTwo cars A and B start simultaneously from two different places and travels towards each other. They arrive at their destination after 2 hrs and 3 hrs respectively. If speed of car A is 48 km/hr. what is the speed of car B?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.