HackerRank Time and Work Quiz- 1

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

Time is taken by Lucky to do the task = 

1/90 – 1/150

= 2/450

= 225 minutes

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.

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

⇒ 75 days to complete the work

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.

(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

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

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

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.

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