CAT 1993 — QA Question 47
Directions for next 3 questions:
Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q’s speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.
A ship leave on a long voyage. When it is 18 miles from the shore, a seaplane, whose speed is ten times that of the ship, is sent to deliver mail. How far from the shore does the seaplane catch up with the ship?
Answer & solution
- A
24 miles
- B
25 miles
- C
22 miles
20 miles
The separation between the ship and the seaplane is 18 miles.
Since the two are travelling in the same direction, the relative speed would be 9 times the speed of the ship (If speed of ship is x miles/hour, speed of the seaplane would be 10x and 10x – x = 9x).
Hence, to catch up with the ship, the seaplane would take hours.
Now, the ship covers x miles in an hour, so in hours it would cover 2 miles.
So when the seaplane catches up with the ship, it would be 18 + 2 = 20 miles from the shore.
Hence, option (d).