Two vertical lamp-posts of equal height stand on-either side of a road 50m wide. At a point P on the road between them, the elevation of the tops of the lamp-posts is 60° and 30°. Find the distance of P from the lamp post which makes angle of 60°.
Correct Answer : B
A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is 3/8 of the distance AB measured from the entrance A. When the train whistles the cat runs. If the cat moves to the entrance of the tunnel, A, the train catches the cat exactly at the entrance. If the cat moves to the exit, B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order?
If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours a day; how much coal will be required for 8 engines, each running 13 hours a day, it being given that 3 engines of the former type consume as much as 4 engines of latter type.
The distances from A to B, B to C and C to D, are 12 kms. each. A man runs from A to B at a speed of X kms/hour. After reaching B, he rests for X hours and runs from B to C at double the previous speed. At C he rests for 2 X hours and runs from C to D at double his speed from B to C. He reaches D in 16 hrs after starting from A. Then a possible value of X is