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?
Question
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?
Solution
The problem can be solved using the concept of relative speed.
Step 1: Understand the problem Two cars A and B start simultaneously from two different places and travel towards each other. They arrive at their destinations after 2 hours and 3 hours respectively. The speed of car A is given as 48 km/hr. We need to find the speed of car B.
Step 2: Use the formula for relative speed The formula for relative speed is Total Distance = (Speed of A + Speed of B) * Time. Here, the time is when they meet. So, the time would be the least common multiple of 2 and 3, which is 6 hours.
Step 3: Calculate the total distance The total distance travelled by both cars when they meet would be Speed of A * Time + Speed of B * Time. We know the speed of A and the time. So, the total distance = 48 km/hr * 6 hrs = 288 km.
Step 4: Substitute the total distance in the formula for relative speed 288 km = (48 km/hr + Speed of B) * 6 hrs.
Step 5: Solve for Speed of B Rearranging the equation, we get Speed of B = (288 km - 48 km/hr * 6 hrs) / 6 hrs = 24 km/hr.
So, the speed of car B is 24 km/hr.
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