find both direction & distance section 3 Practice Questions Answers Test with Solutions & More Shortcuts

DIRECTIONS:

Study the following information carefully and answer the questions that follow.

A country has the following types of traffic signals.

  1. 3 green lights = go at 60 kmph speed
  2. 2 green lights = go at 40 kmph speed
  3. 1 green light = go at 20 kmph speed
  4. 3 red lights = stop
  5. 2 red lights = turn left
  6. 1 red light = turn right

A person starts driving from a point in West direction and he encounters the following traffic signals:

  1. Starting point – 1 green light;
  2. After 15 minutes, 1st signal – 2 red & 2 green lights;
  3. After 24 minutes, 2nd signal – 1 red & 3 green lights;
  4. After 45 minutes, 3rd signal – 1 red & 2 green lights;
  5. After 18 minutes, 4th signal – 3 red lights;

Question : 1

Find the total distance he covered up to the last signal.

a) 75 km

b) 70 km

c) 76 km

d) 78 km

e) 79 km

Answer: (d)

Starting in West direction: 1 green light means 20 km/hr

So 15 minutes at 20km/hr, means covers $ 15/60$ x 20 = 5 km

Next, 2 red & 2 green lights, means turn left and 24 minutes at 40 km/hr

So now distance covered = $24/60$ x 40 = 16 km

Now for next 45 minutes, 1 red & 3 green lights, means turned right and drove at 60 km/hr,

so covered$ 45/60$ x 60 = 45 Km

Next – 1 red & 2 green lights, turned right and 18 minutes at 40 km/hr

So covered = $18/60$ x 40 = 12 km. Next 3 red lights so stopped

So total distance = 5+16+45+12 = 78 km

Question : 2

After passing the third signal if the person encounters fourth signal after half an hour, then what is his final position with respect to the starting point?

a) 4 km to the north and 45 km to the west

b) 4 km to the north and 50 km to the west

c) 4 km to the south and 50 km to the east

d) 55 km directly to the north-west

e) None of these

Answer: (b)

So at last 1 red & 2 green lights, turned right and 30 minutes at 40 km/hr

So covered $30/60$ x 40 = 20 km

Question : 3

If instead of starting in West direction, the man starts in South direction, then what is his position with respect to the starting point?

a) 50 km to the south and 4 km to the east

b) 50 km to the north and 4 km to the west

c) 50 km to the south and 4 km to the west

d) 54 km directly to the north-west

e) None of these

Answer: (a)

Question : 4

If after the first signal, 2nd signal: 2 red and 2 green lights, and 3rd signal: 1 red and 3 green lights, then what is the distance covered up to the last signal?

a) 67 km

b) 68 km

c) 69 km

d) 60 km

e) 65 km

Answer: (c)

Starting in West direction: 1 green light means 20 km/hr

So 15 minutes at 20km/hr, means covers $15/60$ x 20 = 5 km

Next, 2 red & 2 green lights, means turn left and 24 minutes at 40 km/hr

So now distance covered = $24/60$ x 40 = 16 km

Now for next 45 minutes, 2 red & 2 green lights, means turned left and drove at 40 km/hr,

so covered $45/60$ x 40 = 30 Km

Next – 1 red & 3 green lights, turned right and 18 minutes at 60 km/hr

So covered = $18/60$ x 60 = 18 km. Next 3 red lights so stopped

So total distance = 5+16+30+18 = 69 km

Question : 5

If the person stops at 3rd signal, then what is his final position with respect to his starting position?

a) 50.5 km to the south-west

b) 52.5 km to the north-east

c) 50 km to the north-west

d) 52.5 km to the south-west

e) 50.5 km to the south-east

Answer: (d)

Starting in West direction: 1 green light means 20 km/hr

So 15 minutes at 20km/hr, means covers $15/60$ x 20 = 5 km

Next, 2 red & 2 green lights, means turn left and 24 minutes at 40 km/hr

So now distance covered = $24/60$ x 40 = 16 km

Now for next 45 minutes, 1 red & 3 green lights, means turned right and drove at 60 km/hr,

so covered $45/60$ x 60 = 45 Km

Stopped here

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