HomeAILET UGPractice Paper for Time and Work of AILET Maths Section

# Practice Paper for Time and Work of AILET Maths Section

Practice Paper for Time and Work of AILET Maths Section

Practice Paper for Time and Work of AILET Maths Section

• If the total amount of work completed in a day is 1/7, how long will it take for the work to be​​ complete?

• If one man can finish a work in 10 days, how much work will be done in total by two men in one​​ day?

• Kashish and Karan can finish a work in 50 days and Kashish alone can do it in 70 days. How long will it take for Karan to finish the entire work all by​​ himself?

• If Akash finishes constructing a wall in 10 days and Ashish finishes constructing a wall in 20 days, how many days will it take to construct the wall if both work together?

• A finishes a work in 2 days, B finishes it​​ in 6 days and C finishes it in 4​​ day. How many time will it take if they all work together?

• Prabal finishes painting a house in 25​​ hours​​ and Pratibha finishes the same work in 30​​ hours. They work together for 5​​ hours​​ and then Pratibha goes away. How many more days will it take for Prabal to finish the work?

• Riya and Tia can complete a work in 15 days, Tia and Sia can finish it in 20 days and Riya and Sia can finish it in 10 days. How long will it take if all three work together?

• Tap A fills the cistern in 5 hours and Tap B fills the cistern in 7 hours. The tank can be emptied by Tap C in 4 hours. If all the tap are opened simultaneously, how long will it take the empty cistern to be completely​​ filled?

• If​​ Lokesh finishes​​ the​​ work​​ in​​ 2​​ days and​​ Lalita finishes​​ the work​​ in​​ 5​​ days, how many days will it take to​​ do the work​​ if both work together?

DO IT YOURSELF

If Tap A fills the water tank in 9 hours and Tap to fills the water tank in 3 hours, how long will it take for the water tank to be completely filled?

• No. of days it will take for the work to be complete = 1/ (1/7)

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 7 days

• Amount of work done by one man in one day = 1/10

Amount of work done by two men in one day = 1/10 + 1/10 = 2/10

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ =​​ 1/5

• N one day, amount of work Kashish and Karan can finish = 1/50

In one day, amount of work Kashish can alone do = 1/70

In one day, amount of work Karan can alone do = (1/50 – 1/70)​​ = 1/175

Therefore, no. of days Karan will take alone to finish the work = 1/ (1/175) = 175 days

• In one day, amount of work done by Akash = 1/10

In one day, amount of work done by Ashish = 1/20

In one day, work​​ done by Akash and Ashish​​ together​​ = [(1/10) + (1/20)] = 3/20

Therefore, days taken if they work together = 20/3 = 6. 66 days

• In one day, amount of work done by A = 1/2

In one day, amount of work done by B =​​ 1/6

In one day, amount of work done by C = 1/4

In one day, amount of work done if they work together = [(1/2 + (1/6) + (1/4)] =​​ 11/12

Therefore days taken in finishing the work together = 12/11 = 1 day (approx.)

• Portion of house painted by Prabal in one hour = 1/25

Portion of house painted by​​ Parthia​​ in one hour = 1/30

Portion of house painted by them together in one hour = 1/25 + 1/30 = 11/150​​

Portion of house painted by them together in 5 hours = 5*(11/150) = 11/30

Remaining work = 1- (11/30) = 19/30

Prabal can paint the remaining house in (19/30) * 25 =​​ 15.8 hours

• One day work of Riya and Tia = ​​ 1/15

One day work of Tia and Sia = 1/20

One day work of Riya and Sia = 1/10

2​​ (Riya​​ + Tia + Sia)’s one day work = (1/15) +​​ (1/20) + (1/10)​​

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 13/60

(Riya​​ + Tia + Sia)’s one day work = 13/120

Together, they can​​ finish the work = 120/13 = 9. 23​​ days

• Tap​​ A​​ fills 1/5 of the tank in one hour.

Tap B fills 1/7 of the tank in one hour.

Tap C empties 1/4 of​​ the tank in one hour.

​​ Thus, in 1 hour​​ [(1/5) +​​ (1/7)​​ – (1/4)]​​ th i.e. 13/140 of the tank is filled.

If all the three taps are opened together, the time taken to fill the tank = 140/13​​

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 10.76 Hours  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​

• In one day, amount of work done by Lokesh = 1/2

In one day, amount of work done by Lalita = 1/5

In one day, work done by Lokesh and Lalita together = [(1/2) + (1/5)] =​​ 7/10

Therefore, days taken if they​​ work together = 10/7​​ =​​ 1.4​​ days

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