March 2024

Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port

Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port

Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length 24 km. When the slower ship travelled 8 km, the triangle formed by the new positions of the two ships and the port became right-angled. When the faster […]

Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port Read More »

Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same

Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same

Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same route at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour

Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same Read More »

One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B

One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B

One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B, Amal took each mode of transport 1/3 of his total journey time, while Bimal took each mode of transport 1/3 of the total distance. The percentage by which Bimal’s travel time exceeds Amal’s travel

One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B Read More »

Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds

Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds

Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are 60 km apart. If the speed of one of the ships is 6 km per hour more than the other one, then the speed, in km per hour, of

Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds Read More »

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