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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?
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
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Most Upvoted Answer
A ship went on a voyage. After it had traveled 180 miles a plane start...
Problem Statement:

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 the starting point.

Solution:

Let's assume the speed of the ship as x miles per hour.

Given, the speed of the plane is 10 times the speed of the ship. Therefore, the speed of the plane is 10x miles per hour.

Let's assume the time taken by both the ship and the plane to meet from the starting point is t hours.

Distance covered by the ship in t hours = x * t

Distance covered by the plane in t hours = 10x * t

As per the problem statement, the ship traveled 180 miles before the plane started.

Therefore, the distance covered by the plane in t hours = Distance covered by the ship in t hours + 180

10x * t = x * t + 180

9x * t = 180

t = 20

Now, we can find the distance traveled by the ship in 20 hours.

Distance traveled by the ship in 20 hours = x * t = x * 20

Distance traveled by the ship in 20 hours = 20x

Therefore, the distance from the starting point when both the ship and the plane meet = Distance traveled by the ship in 20 hours + 180

Distance from the starting point = 20x + 180

As per the problem statement, we need to find the distance from the starting point when both the ship and the plane meet.

The correct answer is option 'B' 200.

Conclusion:

The distance from the starting point when both the ship and the plane meet is 200 miles.
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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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