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A man travels on a scooter from A to B at speed at 30km/hr and returns from B to A by 20km/hr. The total journey was performed by him in 10hrs. Find the distance from A to B.
- a)250 km
- b)240 km
- c)220 km
- d)120 km
- e)None of the above/More than one of the above
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A man travels on a scooter from Ato Bat speed at30km/hrand returns fro...
Let the distance from A to B = LCM of 30 and 20 = 60km
∴ Total distance covered = 60 x 2 = 120 km
∴ Total distance covered = 60 x 2 = 120 km
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Community Answer
A man travels on a scooter from Ato Bat speed at30km/hrand returns fro...
Given Data:
- Speed from A to B = 30 km/hr
- Speed from B to A = 20 km/hr
- Total time taken = 10 hours
Approach:
- Let the distance between A and B be x km
- Time taken to travel from A to B = x/30 hours
- Time taken to travel from B to A = x/20 hours
- Total time taken = x/30 + x/20 = 10 hours
Solving the equation:
- x/30 + x/20 = 10
- (2x + 3x)/60 = 10
- 5x = 600
- x = 120 km
Therefore, the distance from A to B is 120 km, which corresponds to option D.
- Speed from A to B = 30 km/hr
- Speed from B to A = 20 km/hr
- Total time taken = 10 hours
Approach:
- Let the distance between A and B be x km
- Time taken to travel from A to B = x/30 hours
- Time taken to travel from B to A = x/20 hours
- Total time taken = x/30 + x/20 = 10 hours
Solving the equation:
- x/30 + x/20 = 10
- (2x + 3x)/60 = 10
- 5x = 600
- x = 120 km
Therefore, the distance from A to B is 120 km, which corresponds to option D.
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