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Two buses start at the same time from Delhi and Agra, which are 300 km. apart, towards each other. After what time will they cross each other if their speeds are 38 km per hour and 37 km per hour?
  • a)
    4 hours
  • b)
    3 hours
  • c)
    5 hours
  • d)
    6 hours
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two buses start at the same time from Delhi and Agra, which are 300 k...
To solve this problem, we can use the concept of relative speed. The relative speed of two objects moving towards each other is the sum of their individual speeds.

Given:
Speed of the first bus = 38 km/h
Speed of the second bus = 37 km/h
Distance between the two cities = 300 km

Let's assume the buses meet after time 't' hours.

- First, we need to find the relative speed of the two buses.
- The relative speed of the two buses is the sum of their individual speeds, which is 38 km/h + 37 km/h = 75 km/h.

Now, we can use the formula: Distance = Speed × Time to find the time taken for the buses to meet.

- The distance traveled by the first bus in time 't' hours is 38 km/h × t = 38t km.
- The distance traveled by the second bus in time 't' hours is 37 km/h × t = 37t km.
- Since the buses are moving towards each other, the sum of the distances traveled by both buses should be equal to the total distance between the two cities, which is 300 km.
- Therefore, 38t + 37t = 300.

Simplifying the equation:
75t = 300
Dividing both sides by 75:
t = 4

Therefore, the buses will cross each other after 4 hours.

Hence, the correct answer is option A) 4 hours.
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Community Answer
Two buses start at the same time from Delhi and Agra, which are 300 k...
Given,
Two buses start at the same time from Delhi and Agra, which are 300 km.
Distance between Agra and Delhi =300 km
Relative speed = 38 + 37 = 75 km/hr
Time taken to cross each other = Distance/ speed
= 300 / 75 = 4 hours
Hence, the correct option is (A).
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