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To complete a task in $45$ days, a contractor employees $45$ people. Upon reviewing the work after $30$ days, he notices that only half the task is complete. In order to meet the deadline of $45$ days, how many extra people must he employ?

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Important Questions on Time and Work

HARD

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

X

can complete

{\frac{5}{7}}^{t h}

part of a work in

10

days and

Y

can complete

{\frac{3}{4}}^{t h}

part of the same work in

9

days. In how many days will both complete

{\frac{13}{21}}^{s t}

part of the total work?

HARD

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

Indira and Chandra can do a task separately in

20

days and

80

days respectively. Indra begins the work and works for

3

days and then takes a leave for five days during those days Chandra works. This process continues till the end of the work. How many days are taken to complete the work?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

Inlet pipe P can fill a tank in

7 h o u r s

, while outlet pipe Q can empty the completely filled tank in

6 h o u r s

. If P is opened for first three hours and then Q is also opened, then how much time will be needed to empty the tank?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

Marc and Mike together can build a 5 foot high wall in 10 days. If Marc alone can build the same wall in 12 days, in how many days will Mike alone build the same wall?

(A) 50 days

(B) 60 days

(D) 24 days

HARD

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A

and

B

can do a job together in

12

days.

A

2

times as efficient as

B

. In how many days can

B

alone complete the work?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

M

alone can do a work in

50

days.

M

10 %

less efficient than

N

. In how many days can

N

alone do the same work?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

9800 J

of energy was spent to raise a mass of

70 kg

. The mass was raised to a height of _____?

EASY

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

If a car travels a distance with

20 %

less speed, then it will reach

15

minutes late. What is the usual time(in minutes) taken by the car to travel the same distance?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A and B can complete a piece of work in

6

and

12

days separately. If they work jointly, how long will they take to complete this piece of work ?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

10

persons can build a wall in

8

days. How may persons can build the wall in half day ?

EASY

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A van covers $25 k m$ at the rate of $20 k m p h$ and again a distance of $80 k m$ at the rate of $25 k m p h$ . Find the average speed of the van (in $k m p h$ ) for the whole journey.

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A man standing on a railway platform noticed that a train took

21 s

to cross the platform (this means the time elapsed from the moment the engine enters the platform till the last compartment leaves the platform) which is

88 m

long, and that it took

9 s

to pass him. Assuming that the train was moving with uniform speed, what is the length of the train in meters?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A contractor has the target of completing a work in

40

days. He employed

20

persons who completed

\frac{1}{4}

of the work in

10

days and left. The number of persons he has to employ to finish the remaining part as per target is:

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A man uses train and car to reach his office. If he travels

10

km by car and the rest of the distance by train then he reaches his office in ‘t’ hours. If he travels exactly opposite (

10

km by train, and the rest by car), he reaches the office in (t+0.5 hours). If the speeds of train and car are respectively

50

km/hr and

40

km/hr, then how much distance does he travel to reach his office?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

Raju can do a piece of work in

20

days, while Ram can do it in

30

days. If both of them work at it together, then the number of days in which they will be able to finish the work is:

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A, B, and C complete a work in

10

days working together. A alone does the same work in

20

days and B alone does it in

30

days. How many days will C take to complete the task alone?

HARD

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A

is twice as good a workman as

B

and together they finish a piece of work in

20

days. In how many days will

A

alone finish the work?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A,B, and C together complete a work in 2 days. If A and B need 2.4 days to complete the work, while B and C together complete the work in 4 days then in how many days will B alone do the work?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A group of soldiers can completely destroy an enemy camp in

5

days. However,

9

soldiers were injured. The remaining soldiers destroyed the camp in

8

days. Calculate the actual number of soldiers who destroyed the camp?

MEDIUM

Mathematics>Algebra>Time and Work>Work, Time, Speed and Distance

A person

X

is running around a circular track completing one round every

40

seconds. Another person

Y

running in the opposite direction meets

X

every

15

seconds. The time, expressed in seconds, taken by

Y

to complete one round is

To complete a task in 45 days, a contractor employees 45 people. Upon reviewing the work after 30 days, he notices that only half the task is complete. In order to meet the deadline of 45 days, how many extra people must he employ?

Important Questions on Time and Work

Learn and Prepare for any exam you want !

To complete a task in $45$ days, a contractor employees $45$ people. Upon reviewing the work after $30$ days, he notices that only half the task is complete. In order to meet the deadline of $45$ days, how many extra people must he employ?