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HackerRank Time and Work Quiz- 1

Question 1

Time: 00:00:00

Narendra Modi can do work in 15 days and Kejriwal can do in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

1/4

1/10

7/15

8/15

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Their combined 4 day work = 4(1/10 + 1/15) = 12/20 = 3/5.

Remaining work = 1 – 3/5 = ⅖.

This means C did 2/5 work in 4 days, hence he can finish the complete work in 5/2 × 4 = 10 days

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Question 2

Time: 00:00:00

P, Q, and R can do work in 90 minutes. If P and Q collectively can do the work in 150 minutes, calculate the time required by R to do the task alone.

225

240

219

239

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Time is taken by Lucky to do the task =

1/90 – 1/150

= 2/450

= 225 minutes

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Question 3

Time: 00:00:00

Anjali and Archita can make a statue in 40 days, Archita and Anahita can make it in 120 days. If Archita alone can do it in 180 days, in how many days will Anjali and Anahita make the statue together?

45 days

25 days

22.5 days

12 days

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Anjali + Archita take 40 days. Archita alone takes 180 days.

∴ Anjali will take 1/40 – 1/180 = 7/360 ⇒ 360/7 days.

Archita + Anhaita take 120 days. ∴ Anahita alone will take 1/120 – 1/180 = 1/360

i.e. 360 days. ∴ Anjali & Anahita together will take 7/360 + 1/360

= 8/360 ⇒ 360/8 = 45 days to complete the work.

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Question 4

Time: 00:00:00

Alpha, Beta, Gamma, and Zeta can do a piece of work in 20 days. If Alpha and Beta can do it together in 50 days, and Gamma alone in 60 days, find the time in which Zeta alone can do it.

120 days

200 days

90 days

75 days

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Zeta alone will take 1/20 – 1/50 – 1/60 = 4/300 = 1/75

⇒ 75 days to complete the work

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Question 5

Time: 00:00:00

Daku and Tamatar can do a piece of work in 70 and 60 days respectively. They began the work together, but Daku left after some days and Tamatar finished the remaining work in 47 days. After how many days did Daku leave?

7 days

10 days

14 days

18 days

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Tamatar would have done 47/60 work in 47 days. The remaining work i.e. 13/60 must have been done by Daku and Tamatar together. They can do the whole work in 60 × 70 / (60 + 70) = 60 × 70/130 = 420/13 days.

So, they would have done 13/60 work in 420/13 × 13/60 = 7 days. Therefore, Daku left the work after 7 days.

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Question 6

Time: 00:00:00

A can do a bit of work in 10 days while B alone can do it in 15 days. They cooperate for 5 days and whatever remains of the work is finished by C in 2 days. On the off chance that they get Rs. 4500 for the entire work, by what means if they partition the cash?

Rs 1250, Rs 1200, Rs 550

Rs 2250, Rs 1500, Rs 750

Rs 3050, Rs 1050, Rs 950

Rs 1650, Rs 1555, Rs 925

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(A+B)'s 5 days work = 5(1/10+ 1/15)= (5* 1/6)= 5/6

Remaining work = (1-5/6) = 1/6

C's 2 days work = 1/6

(A's 5 day work): (B's 5 day work): (C's 2 days work)

= 5/10: 5/15: 1/6

= 15: 10:5 = 3:2:1

A's offer = (4500*3/6) = Rs. 2250

B's offer = (4500*2/6) = Rs. 1500

C's share= (4500*1/6) = Rs. 750

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Question 7

Time: 00:00:00

A can fabricate a divider in 30 days , while B alone can assemble it in 40 days, If they construct it together and get an installment of RS. 7000, what B's offer?

2000

6000

3000

4000

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A's 1 days work = 1/30,

B's 1 day work = 1/40,

Proportion of their shares = 1/30:1/40 = 4:3

B's offer = (7000*3/7) = Rs. 3000

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Question 8

Time: 00:00:00

A and B can do a bit of work in 45 days and 40 days . they started the work together however A leaves after a few days and B completed the remaining work in 23 days . After how long did A leaves?

6 days

12 days

8 days

9 days

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Work done by B in 23 days = (23*1/40) = 23/40 ; remaining work = (1- 23/40)= 17/40

(A+B)'s 1 day work = ( 1/45+ 1/40) = (8+9)/360 = 17/360

17/360 work is done by (A+B) in 1 day.

17/40 work is done by them in (360/17*17/40) = 9 days

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Question 9

Time: 00:00:00

9 youngsters can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?

68 days

81 days

96 days

124 days

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9 children 1 day work = 1/360 ⇒1 child 1 day work = 1/3240

18 man 1 day work = 1/72 ⇒1 man 1 day work = 1/1296

12 women 1 day work = 1/162 ⇒1 women 1 day work = 1/1944

(4men +12 women +10 children) 1 day work = (4/1296+ 12/1944+10/3240)

= (1/324+1/162+1/324) = 4/324 = 1/81

Hence they can finish the work in 81 days.

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Question 10

Time: 00:00:00

Two men embrace to do a bit of work for Rs. 4000. One alone can do it in 6 days, the other in 8 days. With the assistance of a kid, they complete it in 3 days. The young men offer is:

400

500

600

800

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Let the men be A and B and the boy be C.

A's 1 days work = 1/6, B's 1 day's work = 1/8. (A+B+C)'s 1 day work = 1/3

1/6 + 1/8 +1/x = 1/3 ⇒1/x = (1/3- 7/24) = 1/24

Ratio of shares of A, B, C = 1/6: 1/8: 1/24 = 4:3:1

Boys share = (4000*1/8) = RS. 500

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