Sample Questions For IAS - DISTANCE & SPEED ~ IAS Tutorial

Notes

$Speed = \frac{distance}{time}$

When A and B are moving in the same direction: $v_{R} = v_{A} - v_{B}$

When A and B are moving in opposite directions: $v_{R} = v_{A} + v_{B}$

Two objects of length $l_{A}$ and $l_{B}$ ….time taken for the objects to cross each other

$t = \frac {l_{A} + l_{B}} {relative speed}$

Two objects A and B moving in opposite directions with speeds $v_{A} and v_{B}$ , after crossing each other take time $t_{A}$ and $t_{B}$ to reach their respective destinations. Then,

$\frac{v_{A}}{v_{B}} = \sqrt{\frac{t_{B}}{t_{A}}}$

If a train covers a certain distance at average speed ‘u’, without stopping and covers the same distance at average speed ‘v’ with stopping, then the time spent at the stop ‘t’ is given by

$t = \frac{v-u}{max(u, v)}$

Find the time taken by a train 150 m long running at 54 kmph in crossing an electric pole (assume width of the pole is negligible)
1. 10 sec
2. 15 sec
3. 20 sec
4. 17 sec
A man standing on a 150 m long bridge finds that a train crosses the bridge in 19 sec and crosses himself in 9 sec. What is the speed of the train?
1. 50 kmph
2. 45 kmph
3. 54 kmph
4. 8 kmph
Two trains travel in the same direction at speeds of 36 kmph and 54 kmph. The faster train overtakes the slower in 60 sec. What is the length of either train, if both trains are equally long?
1. 100 m
2. 160 m
3. 300 m
4. 150 m
A train travels a certain distance making three stops of 20 min each. The overall speed of the train comes to 40 kmph. Without stopping, the speed is 45 kmph. How much distance did the train travel?
1. 180 km
2. 360 km
3. 90 km
4. 300 km
Two stations A and B are 125 km apart. A train starts from A at 07:00 hrs and travels towards B at 10 kmph. Another train starts from B at 08:00 hrs and travels towards A at 15 kmph. At what time will they cross each other?
1. 10:00 hrs
2. 12 3/5 hrs
3. 11:00 hrs
4. 09:00 hrs