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A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the ship. Find the distance when they meet from starting point
- a)300
- b)200
- c)400
- d)500
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A ship went on a voyage. After it had traveled 180 miles a plane start...
Let the speed of the ship = m miles/hr. and plane took 't' hours to meet the ship
Then, m×t is the distance ship traveled after plane started
So we have, mt + 180 = 10mt
⇒ 9mt = 180
⇒ mt = 20
Hence distance = 180 + 20 = 200 miles
Most Upvoted Answer
A ship went on a voyage. After it had traveled 180 miles a plane start...
Given:
- Distance traveled by the ship = 180 miles
- Speed of the plane = 10 times the speed of the ship
To find:
- Distance from the starting point when they meet
Assumptions and Approach:
- We assume that the ship and the plane start at the same time and travel in the same direction.
- We will use the formula Distance = Speed x Time to calculate the distance traveled by each of them.
- Let's assume the speed of the ship is 'x' miles per hour, then the speed of the plane is 10x miles per hour.
- We need to find the distance traveled by the ship and the plane when they meet.
Solution:
- Let's assume the time taken by both the ship and the plane to meet is 't' hours.
- Distance traveled by the ship = Speed of the ship x Time = x * t miles
- Distance traveled by the plane = Speed of the plane x Time = 10x * t miles
When they meet:
- The distance traveled by the ship and the plane when they meet should be the same.
- Therefore, x * t = 10x * t
- Simplifying the equation, we get t = 0 (which means they meet at the starting point)
Distance from the starting point when they meet:
- Distance traveled by the ship = x * t = x * 0 = 0 miles
- Distance traveled by the plane = 10x * t = 10x * 0 = 0 miles
Conclusion:
- The ship and the plane meet at the starting point, so the distance from the starting point when they meet is 0 miles.
- Therefore, the correct answer is option 'B' (200 miles) is incorrect.
- Distance traveled by the ship = 180 miles
- Speed of the plane = 10 times the speed of the ship
To find:
- Distance from the starting point when they meet
Assumptions and Approach:
- We assume that the ship and the plane start at the same time and travel in the same direction.
- We will use the formula Distance = Speed x Time to calculate the distance traveled by each of them.
- Let's assume the speed of the ship is 'x' miles per hour, then the speed of the plane is 10x miles per hour.
- We need to find the distance traveled by the ship and the plane when they meet.
Solution:
- Let's assume the time taken by both the ship and the plane to meet is 't' hours.
- Distance traveled by the ship = Speed of the ship x Time = x * t miles
- Distance traveled by the plane = Speed of the plane x Time = 10x * t miles
When they meet:
- The distance traveled by the ship and the plane when they meet should be the same.
- Therefore, x * t = 10x * t
- Simplifying the equation, we get t = 0 (which means they meet at the starting point)
Distance from the starting point when they meet:
- Distance traveled by the ship = x * t = x * 0 = 0 miles
- Distance traveled by the plane = 10x * t = 10x * 0 = 0 miles
Conclusion:
- The ship and the plane meet at the starting point, so the distance from the starting point when they meet is 0 miles.
- Therefore, the correct answer is option 'B' (200 miles) is incorrect.
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A ship went on a voyage. After it had traveled 180 miles a plane started with 10 times the speed of the ship. Find the distance when they meet from starting pointa)300b)200c)400d)500Correct answer is option 'B'. Can you explain this answer?
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