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

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

Question 2

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 3

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 4

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

Question 5

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 6

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

Question 7

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 8

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 9

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 10

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 11

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 12

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 13

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 14

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 15

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 16

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 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

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 19

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 20

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 21

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 22

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 23

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 24

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 25

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 26

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 27

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 28

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

Question 29

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 30

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 31

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 32

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 33

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 34

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 35

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 36

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

Question 37

When 231 is divided by 5 the remainder is

Question 38

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

Question 39

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 40

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 41

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

Question 42

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

Question 43

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 44

The average of the first 100 positive integers is

Question 45

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 46

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 47

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

Question 48

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 49

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 50

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

Question 51

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 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

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

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