Position of Town U relative to Town Q
This problem involves spatial reasoning, requiring us to trace the path between several towns based on directional cues (east and south) to find the final location of Town U from Town Q.
Mapping Town Directions Step-by-Step
We can visualize the locations by following the directions given:
- Start Point: Town P.
- P to Q: Town Q is to the east of Town P.
- Q to R: Town R is to the south of Town Q.
- R to S: Town S is to the east of Town R.
- S to T: Town T is to the south of Town S.
- T to U: Town U is to the east of Town T.
Determining the Final Position: U from Q
To find the position of Town U with respect to Town Q, let's analyze the net movement:
Analyzing the path starting from Town Q:
- First, travel South from Q to R.
- Next, travel East from R to S.
- Then, travel South again from S to T.
- Finally, travel East again from T to U.
Combining these movements, the total displacement from Town Q to Town U involves components in both the South and East directions. The path goes South, then East, then South, then East.
Conclusion: Relative Position of Town U
Since the journey from Town Q to Town U requires traveling South and then East (with intermediate steps also involving East and South movements), the final position of Town U is located in the South-east direction relative to Town Q.
Important Questions from Direction and Distance
- Johny starts from Point A and drives 6 km towards the North. He then takes a right turn, drives 17 km, turns right and drives 13 km. He then takes a right turn and drives 8 km. He takes a final right turn, drives 7 km and stops at Point P. How far (shortest distance) and towards which direction should he drive to reach Point A again? (All turns are 90 degrees turns only unless specified.)
- Binoy starts from Point Y and drives 16 km towards the north. He then takes a right turn and drives 43 km, then turns right and drives 38 km. He then takes a right turn and drives 19 km. He takes a final right turn, drives 22 km and stops at Point Z. How far (shortest distance) and in which direction should he drive in order to reach Point Y again? (All turns are 90-degree turns only unless specified.)
- Himank starts from Point A and drives 13 km towards West. He then takes a left turn, drives 3 km, turns left and drives 16 km. He then takes a left turn and drives 6 km. He takes a final left turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
- Shyam starts from Point A and drives 12 km towards east. He then takes a right turn,
drives 7 km, turns right and drives 5 km. He then takes a left turn and drives 9 km. He
takes a final right turn, drives 7 km and stops at Point P. How far (shortest distance) and
towards which direction should he drive in order to reach Point A again? (All turns are
$90^{\circ}$ turns only unless specified.) - Babar starts from Point A and drives 14 km towards West. He then takes a left turn,
drives 7 km, turns right and drives 9 km. He then takes a right turn and drives 7 km. He
takes a final right turn, drives 5 km and stops at Point P. How far (shortest distance) and
towards which direction should he drive in order to reach Point A again? (All turns are
$90^{\circ}$ turns only unless specified.)
