 # SSC Speed Time Distance and Work Questions with Answers

#### Speed Time Distance and Work

An excellent collection of SSC Time, speed, distance, and work questions and answers with detailed explanations for competitive exams. Given below are some of the most repeated practice questions on Time, speed, distance, and work for SSC CGL, CHSL, JE, GD constable, Stenographer, MTS, and CPO exams. Go through this very important online quiz based on model and previous year asked questions from SSC Time, speed, distance, and work with solutions to ace the exam.

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Instructions

For the following questions answer them individually

Question 1

When a pendulum of length 50 cm oscillates, it produces an arc of 16 cm. The angle so formed in degree measure is (approx)

Question 2

A sum of money becomes eight times in 3 years, if the rate is compounded annually. In how much time will the same amount at the same compound rate become sixteen times?

Question 3

A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25$$^{\circ}$$ in a distance of 40 metres?

Question 4

Water flows into a tank which is 200m long and 150m wide, through a pipe of cross-section $$0.3m \times 0.2m$$ at 20 km/hour. Then the time (in minutes) for the water level in the tank to reach 8cm is

Question 5

If 5 men or 7 women can earn Rs. 5,250 per day, how much would 7 men and 13 women earn per day ?

Question 6

Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes ?

Question 7

$$0.\overline{001}$$ is equal to

Question 8

The average of the first 100 positive integers is

Question 9

A and B can do a work in 12 days, B and C can do the same work in 15 days, C and A can do the same time work in 20 days. The time taken by A, B and C to do the same work is

Question 10

$$\frac{4.41 \times 0.16}{2.1 \times 1.6 \times 0.21}$$ is equal to

Question 11

50 men can complete a work in 28 days. They started the work together, but at the end of each $$10^{th}$$ day, 10 men left the job. The work was completed in how many days?

Question 12

A train leaves Delhi at 10 a.m. and reaches Jaipur at 4 p.m. on same day. Another train leaves Jaipur at 12 p.m. and reaches Delhi at 5 p.m. on same day. What is the time of day (approximately) when the two trains will meet?

Question 13

The distance between places U and V is 1008 km. An express train leaves place U at 9:00 a.m. and runs at a speed of 126 km/hr. The train stops on the way for 20 minutes. At what time (in p.m.) the train will reach at the place V?

Question 14

A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?

Question 15

A tank 40 m long, 30 m broad and 12 m deep is dug in a field 1000 m long and 30 m wide. By how much will the level of the field rise if the earth dug out of the tank is evenly spread over the field ?

Question 16

It 10 men or 20 women or 40 children can do a piece of work in 7 months, then 5 men, 5 women and 5 children together can do half of the work in how many months :

Question 17

If a and b are two odd positive integers, by which of the following integers is $$(a^4-b^4)$$ always divisible ?

Question 18

$$\frac{256 \times 256 - 144 \times 144}{112}$$ is equal to

Question 19

A drum of kerosene is $$\frac{3}{4}$$ full. When 30 litres of kerosene is drawn from it, it remains $$\frac{1}{2}$$ full. The capacity of the drum is

Question 20

By what least number should 675 be multiplied so as to obtain a perfect cube number ?

Question 21

$$\sqrt{\frac{0.009\times0.36\times0.016\times0.08}{0.002\times0.008\times0.0002}}$$ is equal to

Question 22

In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

Question 23

By walking at 3/4 of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is

Question 24

A train, 300m long, passed a man, walking along the line in the same direction at the rate of 3 km/hr in 33 seconds. The speed of the train is

Question 25

When 231 is divided by 5 the remainder is

Question 26

Simplify: $$\frac{0.0347 \times 0.0347 \times 0.0347 + (0.9653)^3}{(0.0347)^2 - (0.347)(0.9653) + (0.9653)^2}$$

Question 27

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is

Question 28

The floor of a room is of size $$4m \times 3m$$ and its height is 3m. The walls and ceiling of the room require painting. The area to be painted is

Question 29

The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78kg instead of 87 kg. The correct average weight is

Question 30

The diameter of a wheel is 98 cm. The number of revolutions in which it will have to cover a distance of 1540 m is

Question 31

In an equilateral triangle ABC of side 10cm, the side BC is trisected at D. Then the length (in cm) of AD is

Question 32

A rectangular sheet of metal is 40 cm by 15 cm. Equal squares of side 4 cm are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is

Question 33

Walking at 3/4th of his usual speed , aman is $$1\frac{1}{2}$$ hours late. his usual time to cover the same distance, in hours, is?

Question 34

A rectangle garden is 100 m $$\times$$ 80 m. There is a path along the garden and just outside it. Width of the path is 10m. The area of the path is

Question 35

A ship is moving at a speed of 30 km/hr. To know the depth of the ocean beneath it, it sends a radio wave which travels at a speed 200 m/s. The ship receives the signal after it has moved 500 m. The depth of the ocean is

Question 36

If the distance between two point (0, -5) and (x, 0) is 13 unit, then x =

Question 37

PQ is a direct common tangent of two circle of radii $$r_{1}$$ and $$r_{2}$$ touching each other externally at A. Then the value of PQ2 is

Question 38

A can paint a house in 42 days and B can do it in 21 days. Along with C, they can finish the job in 7 days only.C alone can do the painting job in how many days, ?

Question 39

A cistern normally takes 10 hours to be filled by a tap. But because of a leak, it takes 2 hours more. In how many hours will the leak empty a full cistern ?

Question 40

A train crosses a platform in 30 seconds travelling with a speed of 60 km/h. If the length of the train be 200 metres, then the length (in metres) of the platform is

Question 41

A train runs for 2 hrs at the speed of 40 km/h and then runs for 4.5 hrs at the speed of 60 km/h and then runs for 3.5 hrs at the speed of 70 km per hour. Find the average speed of the train.

Question 42

4 men and 6 women complete a work in 8 days. 2 men and 9 women also complete in 8 days. The number of days in which 18 women complete the work is :

Question 43

A’s 2 days’ work is equal to B’s 3 days’ work. If A can complete the work in 8 days then to complete the work B will take

Question 44

If 4 men or 8 women can do a piece of work in 15 days, in how many days can 6 men and 12 women do the same piece of work ?

Question 45

A can do a piece of work in 6 days, B in 10 days and C in 15 days. They jointly complete the work and earn 300. The sum of their wages for 2 days is

Question 46

You arrive at your school 5 minutes late if you walk with a speed of 4 km/h, but you arrive 10 minutes before the scheduled time if you walk with a speed of 5 km/h. The distance of your school from your house (in km) is

Question 47

A can complete a piece of work in 18 days, B in 20 days and C in 30 days. B and C together start the work and are forced to leave after 2 days. The time taken by A alone to complete the remaining work is

Question 48

A and B together can do a works in 12 days. B and C together do it in 15 days. If A's efficiency is twice that of C, then the days required for B alone to finish the work is

Question 49

If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work ?

Question 50

Two men A and B started a job in which A was thrice as good as B and therefore took 60 days less than B to finish the job. How many days will they take to finish the job, if they take to finish the job, if they start working together?

Question 51

With average speed of 40 km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey is

Question 52

If $$a^2+\frac{1}{a^2}$$ = 98(a > 0) then the value of $$a^3 + \frac{1}{a^3}$$ will be

Question 53

The area of the triangle formed by the line 5x + 7y = 35, 4x + 3y = 12 and x-axis is