### Brain Teasers

# Boats and Planes

A ship went on a voyage. After it had travelled 180 miles a plane started with 10 times the speed of the ship, following the same path as the ship. Find the distance when they meet from starting point.

### Answer

200 milesGiven that speed of the plane is 10 times the speed of the ship. So it is obvious that the distance covered by plane will be 10 times the distance covered by the ship for the given time.

i.e. Distance covered by plane = 10 * (Distance covered by ship after plane started)

Now from the given data,

Distance covered by plane = 180 + Distance covered by ship after plane started

10 * (Distance covered by ship after plane started) = 180 + Distance covered by ship after plane started

9 * (Distance covered by ship after plane started) = 180

Distance covered by ship after plane started = 20 miles

Total distance covered by ship from starting point

= 180 + 20

= 200 miles

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