Traffic Signal Problem

(CAT 2002)

A country has the following types of traffic signals.
3 red lights = stop
2 red lights = turn left
1 red light = turn right
3 green lights = go at 100 km/hr speed
2 green lights = go at 40 km/hr speed
1 green light = go at 20 km/hr speed
A motorist starts at a point on a road and follows all traffic signals. His car is heading towards the north.
He encounters the following signals (the time mentioned in each case below is applicable after crossing the previous signal).
Starting point - 1 green light
After half an hour, 1st signal - 2 red and 2 green lights
After 15 min, 2nd signal - 1 red light
After half an hour, 3rd signal - 1 red and 3 green lights
After 24 min, 4th signal - 2 red and 2 green lights
After 15 min, 5th signal - 3 red lights

1. The total distance travelled by the motorist from the starting point till the last signal is
a. 90 km
b. 100 km
c. 120 km
d. None of these

2. What is the position (radial distance) of the most motorist when he reaches the last signal?
a. 45 km directly north of the starting point
b. 30 km directly to the east of the starting point
c. 50 km away to the north-east of the starting point
d. 45 km away to the north-west of the starting point

3. After the starting point if the 1st signal were 1 red and 2 green lights, what would be the final position of the motorist?
a. 30 km to the west and 20 km to the south
b. 30 km to the west and 40 km to the north
c. 50 km to the east and 40 km to the north
d. Directly 30 km to the east

4. If at the starting point, the car was heading towards south, what would be the final position of the
motorist?
a. 30 km to the east and 40 km to the south
b. 50 km to the east and 40 km to the south
c. 30 km to the west and 40 km to the south
d. 50 km to the west and 20 km to the north

For Answers click here.