Question 45

Two cruisers start from the same port. Cruiser A sails 50 miles South, then it turns right and sails 60 miles. In the meanwhile cruiser B sails 105 miles West, then it turns left and sails 50 miles, then it turns West and sails 45 miles. Where is cruiser A with respect to cruiser B?

Solution

Let the two cruisers start from the same port S. Cruiser A (red) sails 50 miles South to D, then it turns right and sails 60 miles towards west. In the meanwhile cruiser B (black) sails 105 miles West to reach T, then it turns left and sails downwards 50 miles, then it turns West and sails 45 miles to stop finally at B.

=> AB = $$(105-60)+45=90$$ miles

$$\therefore$$ Cruiser A is 90 miles east with respect to cruiser B.

=> Ans - (B)


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