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
Question
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
Solution
Let's solve this step by step:
Step 1: Let's assume the time taken to meet each other be 't' hours.
Step 2: In 't' hours, the first car travels 50t km and the second car travels 60t km.
Step 3: According to the problem, the second car has travelled 120 km more than the first car. So, we can write the equation as 60t = 50t + 120.
Step 4: Solving this equation, we get t = 12 hours.
Step 5: The distance between A and B is the total distance travelled by both cars. So, it's (50t + 60t) km = (5012 + 6012) km = 1320 km.
So, the distance between A and B is 1320 kms.
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