find distance only Practice Questions Answers Test with Solutions & More Shortcuts

Question : 46

Sohan started from point X and travelled forward 8 km up to point Y, then turned towards right and travelled 5km up to point Z, then turned right and travelled 7km up to point A and then turned towards right and travelled 5km up to B. What is the distance between points B and X?

a) 2 km

b) 4 km

c) 1 km

d) 3 km

Answer: (c)

direction-and-distance

Clearly, the route of Sohan is as shown in the diagram given below :

Here, XB = XY – YB = XY – AZ (∴ YB = AZ)

= 8 km – 7 km = 1 km

Question : 47

A person starts from a point A and travels 3 km eastwards to B and then turns left and travels thrice that distance to reach C. He again turns left and travels five times the distance he covered between A and B and reaches his destination D. the shortest distance between the starting point and the destination is

a) 15 km

b) 18 km

c) 12 km

d) 16 km

Answer: (a)

direction-and-distance

The movements of the person are as shown in the figure.

Clearly, AB = 3 km; BC = 3AB = (3 × 3) km = 9 km;

CD = 5 AB = (5 × 3) km = 15 km.

Draw AE

CD. Then, CE = AB = 3 km and AE = BC = 9 km.

DE = (CD – CE) = (15 – 3) km = 12 km.

In ΔAED, AD2 = AE2 + DE2 ; AD = $√{9^2 + 12^2}$

$√{225}$ = 15 km. So, required distance

= AD = 15 km.

Question : 48 [SSC CGL Tier-I 2016]

Kishore starts from a point and walks 6 km towards East and turning to his left he moves 3 km. After this, he again turns to his left and moves 6 km. Now, how far is he from his starting point ?

a) 2 km

b) 5 km

c) 3 km

d) 4 km

Answer: (c)

direction-and-distance-verbal-reasoning

AD = 3 km

Question : 49

Two buses start from the opposite point of a main road, 150 kms apart. The first bus runs for 25 kms and takes a right turn and then runs for 15 kms. It then turns left and runs for another 25 kms and takes the direction back to reach the main road. In the meantime, due to a minor breakdown, the other bus has run only 35 kms along the main road. What would be the distance between the two buses at this point ?

a) 75 kms

b) 85 kms

c) 65 kms

d) 80 kms

Answer: (c)

direction-and-distance

Let X and Y be two buses.

Bus X travels along the path PA, AB, BC, CD.

Now, AD = BC =25 km

So, PD = PA + AD = 50 km

Bus Y travels 35 km upto E

∴ Distance between two buses = PQ - (PD + QE)

= {150 - (50+35)} = 65 km

Question : 50

Ricky after travelling for 5 km. took right turn and travelled 6 km. before taking left turn and then travelled for 3 km. find his final distance from home.

a) 9 km

b) 10 km

c) 12 km

d) 11 km

e) None of these

Answer: (b)

direction-and-distance

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