HAT MCQs

The speed is 90 × 5/18 = 25 m/s, so total distance is 25 × 24 = 600 m.
Subtracting the train length gives a bridge length of 400 m.

For motion in the same direction, relative speed is the difference.
Thus, 80 - 55 = 25 km/h.

Downwind speed is 300 km/h and upwind speed is 200 km/h.
Wind speed is half their difference: 50 km/h.

To pass a pole, the train covers its own length.
Speed = 150 ÷ 10 = 15 m/s.

Subtract 7 from both sides of the equation.
This gives x = 19 - 7 = 12.

The train covers its length plus the platform length: 300 meters.
Speed = 300 ÷ 20 = 15 m/s.

Divide both sides by the coefficient 3.
Thus, x = 27 ÷ 3 = 9.

Total distance is 100 + 140 = 240 meters.
Relative speed is 10 + 14 = 24 m/s, so time = 10 seconds.

Subtract 5 to get 2x = 12.
Dividing by 2 gives x = 6.

Relative speed is 66 km/h = 55/3 m/s.
Length = speed × time = 55/3 × 18 = 330 meters.

Move variable terms to one side and constants to the other.
Then 3x = 15, so x = 5.

Downstream speed equals still-water speed plus stream speed.
Thus, 12 + 3 = 15 km/h.