Speed ,distance & time with Explanation

2022-03-25 11:55:38
- Pinnacle Admin

Reasoning is a very important part of competitive exams because Reasoning Questions and answers are asked in competitive exams. If you are prepared for any types of competitive exams SSCBank, and Railway you can command on Reasoning sections.I have prepared this blog to increase your reasoning level as well as increase your confidence level for competitive exams.

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1- A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

 

A.

3.6

B.

7.2

C

8.4

D.

10

Answer: Option B

Explanation:

Speed =

600

m/sec.

5 x 60

   = 2 m/sec.

Converting m/sec to km/hr (see important formulas section)

   =

2 x

18

km/hr

5

   = 7.2 km/hr

 

 

2-A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

A

100 kmph

B

110 kmph

C.

120 kmph

D.

130 kmph

Answer: Option C

Explanation:

Let speed of the car be x kmph.

Then, speed of the train =

150

x

=

3

x

kmph.

100

2

 

75

-

75

=

125

x

(3/2)x

10 x 60

 

75

-

50

=

5

x

x

24

 

x=

25 x24

= 120 kmph.

5

 

 

 

3-Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A.

9

B.

10

C.

12

D.

20

Answer: Option B

Explanation:

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km =

9

x 60

min

= 10 min

 

 

 

 

4-In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

a.

5 kmph

b.

6 kmph

c.

6.25 kmph

d.

7.5 kmph

Answer: Option A

Explanation:

Let Abhay's speed be x km/hr.

Then,

30

-

30

= 3

x

2x

6x = 30

x= 5 km/hr

 

 

 

 

 

 

 

 

5-Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

a.

8 kmph

b.

11 kmph

c.

12 kmph

d.

14 kmph

Answer: Option C

 

Explanation:

Let the distance travelled by x km.

Then,

x

-

x

= 2

10

15

3x - 2x = 60

x= 60 km.

Time taken to travel 60 km at 10 km/hr =

60

hrs

= 6 hrs.

10

So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.

Required speed =

60

kmph.

= 12 kmph.

 

 

 

 

 

 

 

 

6-  A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
A. 20 kmph
B. 24 kmph
C. 28 kmph
D. 32 kmph


Answer: B. 24 kmph


Explanation: Distance from A and B be 'd'
Average Speed = total distance / total time
Average Speed = (2d) / [(d/20) + (d/30)]
= (2d) / [5d/60) => 24 kmph

 

7-Convert the 13/36 m/s into kilometers per hour?
A. 1.2 kmph
B. 1.3 kmph
C. 1.4 kmph
D. 1.5 kmph

Answer: B. 1.3


Explanation: 13/36 m/s = 13/36 * 18/5
= 13/10 = 1.3 kmph

 

8 By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
A. 15 kmph
B. 20 kmph
C. 25 kmph
D. 30 kmph


Answer: B. 20 kmph


Explanation: Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3x = 120x km
He covered 2/3 * 120x = 80x km in 1/3 * 3x = x hours
So, the remaining 40x km, he has to cover in 2x hours would be required speed = 40x / 2x = 20 kmph

 

9  What distance will be covered by a bus moving at 72 kmph in 30 seconds?


A. 450 m
B. 500 m
C. 600 m
D. 750 m


Answer: C. 600 m

 


Explanation: 72 kmph = 72 * 5/18 = 20 mps
D = Speed * time = 20 * 30 = 600 m

 

10  Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?


A. 15 mins
B. 20 mins
C. 25 mins
D. 30 mins

Answer: B. 20 mins


Explanation: Speed Ratio = 1:4 / 5 = 5:4
Time Ratio = 4:51 -------- 5 4 --------- ? => 20