Question

A ship travelling towards the shore is away from the shore by 121 miles. A plane is travelling from shore at 10 times speed of the ship towards the ship. How long from the shore will they meet?

Answer 1

Step-by-step explanation:

Let the speed of the ship be 1 mile/h and then speed of the plane becomes 10 miles/h.

Let time t is taken to cover the distance x from point B to point C by ship.

Hence, in time t plane will cover (18 + x) miles.

Now,

x1=18+x10

Or, 10x = 18 + x

Or, x = 2 miles.

Hence, ship will cover 2 miles in 2 hours and plane will cover 20 miles in same time.

Short method:

Relative speed = (10 - 1) = 9 miles/h.

hence, time taken to catch up the ship is 2 hours so distance covered by the ship = 20 miles.