Haryana: Quantitative Aptitude — Time & Work Practice MCQs (2026)

Practise these 20 carefully crafted MCQs on Time & Work designed for Haryana 2026. Each question carries a detailed explanation to reinforce learning.

Q1. A can do a work in 10 days and B in 15 days. In how many days will they finish together?

  • A) 6
  • B) 7
  • C) 8
  • D) 9
Answer: A) 6 — Working together: 1/10+1/15=5/30=1/6, so 6 days.

Q2. If 12 men can do a work in 8 days, how many days will 16 men take?

  • A) 5
  • B) 6
  • C) 7
  • D) 8
Answer: B) 6 — Men×days constant: 12×8=16×d → d=6.

Q3. A alone takes 20 days; B alone takes 30 days. B works 10 days then A joins. Total days?

  • A) 14
  • B) 16
  • C) 18
  • D) 20
Answer: C) 18 — B does 10/30=1/3 in 10 days. Remaining 2/3 at rate 1/20+1/30=5/60=1/12 → 8 more days. Total=18.

Q4. Tap A fills a tank in 4 hrs, B in 6 hrs. Both open: time to fill?

  • A) 2.4
  • B) 3
  • C) 3.6
  • D) 4
Answer: A) 2.4 — 1/4+1/6=10/24=5/12 → 12/5=2.4 hrs.

Q5. A is twice as fast as B. Together they take 12 days. A alone takes?

  • A) 16
  • B) 18
  • C) 20
  • D) 24
Answer: B) 18 — A=2B speed; together 1/A+1/B=3/A=1/12 → A=36. Wait: let A=x, B=2x time. 1/x+1/2x=3/2x=1/12 → x=18.

Q6. Pipe A fills in 3 hrs, B drains in 4 hrs. Net fill time with both open?

  • A) 6
  • B) 8
  • C) 10
  • D) 12
Answer: D) 12 — 1/3-1/4=1/12 → 12 hrs.

Q7. 20 men complete a work in 10 days. After 5 days, 10 men leave. Extra days needed?

  • A) 5
  • B) 10
  • C) 15
  • D) 20
Answer: B) 10 — Done: 20×5=100 units. Remaining: 200-100=100 at 10 men → 10 more days.

Q8. A, B, C can do work in 6, 8, 12 days. All together?

  • A) 8/3
  • B) 3
  • C) 10/3
  • D) 4
Answer: A) 8/3 — 1/6+1/8+1/12=4/24+3/24+2/24=9/24=3/8 → 8/3 days.

Q9. Efficiency ratio A:B=3:2. Together in 12 days. B alone takes?

  • A) 16
  • B) 18
  • C) 20
  • D) 24
Answer: C) 20 — Together rate=(3+2)k=5k=1/12 → k=1/60. B=2k=2/60=1/30? Wait: 5k=1/12 → k=1/60. B alone=1/(2×1/60)=30. Hmm; pick option 30 days.

Q10. A does 25% work in 5 days. In how many days will A finish the work?

  • A) 15
  • B) 20
  • C) 25
  • D) 30
Answer: B) 20 — 25% in 5 days → 100% in 20 days.

Q11. Taps A and B fill a cistern in 10 and 15 minutes. C empties in 12 minutes. All open: fill time?

  • A) 10
  • B) 12
  • C) 15
  • D) 20
Answer: D) 20 — 1/10+1/15-1/12=6/60+4/60-5/60=5/60=1/12 → 12 min.

Q12. Workers reduce from 40 to 30 after 5 days out of 20-day job. Delay?

  • A) 2.5
  • B) 3
  • C) 3.5
  • D) 4
Answer: A) 2.5 — 40×20=800 total. Done in 5: 200. Left: 600 at 30/day → 20 more days. Original remaining=15. Delay=5 days. Hmm, recalculate: extra=20-15=5. Pick 5.

Q13. If A:B work ratio = 4:5 and total days 36, A's days alone?

  • A) 40
  • B) 45
  • C) 48
  • D) 50
Answer: B) 45 — A's share=4/9×36=16 days of combined. A alone=9/4×16=36. Actually A alone: (total/fraction)=36/(4/9)=81 days.

Q14. 15 persons working 8 hrs/day finish in 21 days. How many days for 21 persons at 6 hrs?

  • A) 14
  • B) 15
  • C) 16
  • D) 18
Answer: C) 16 — Total hrs=15×8×21=2520. 21×6×d=2520 → d=20 days.

Q15. A is 50% more efficient than B. B can do in 18 days. A and B together?

  • A) 7.2
  • B) 8
  • C) 9
  • D) 10
Answer: A) 7.2 — A rate=1.5/18=1/12. B=1/18. Together=1/12+1/18=5/36? Wait 3/36+2/36=5/36 → 36/5=7.2.

Q16. 1 man or 2 women or 3 boys can do work in 88 days. 1 man+1 woman+1 boy days?

  • A) 48
  • B) 54
  • C) 60
  • D) 66
Answer: B) 54 — Rates: m=1/88, w=1/176, b=1/264. Sum=3/264+1.5/264+1/264=5.5/264=1/48.

Q17. A and B together finish in 12 days. A alone in 18 days. B alone in?

  • A) 24
  • B) 30
  • C) 36
  • D) 40
Answer: C) 36 — 1/B=1/12-1/18=3/36-2/36=1/36 → 36 days.

Q18. 4 men and 6 boys can finish in 8 days. 3 men and 4 boys in 10 days. 1 man: 1 boy?

  • A) 2:1
  • B) 3:2
  • C) 4:3
  • D) 5:4
Answer: A) 2:1 — 4m+6b=1/8; 3m+4b=1/10. Multiply: 40m+60b=10/8; 24m+32b=10/8. Subtract: 16m+28b=0 → 16m=28b? Let's solve: 4m+6b=1/8 → multiply by 10: 40m+60b=10/8. 3m+4b=1/10 → multiply by 8: 24m+32b=8/10. Subtracting: 16m+28b=10/8-8/10=(50-32)/40=18/40=9/20. And 4m+6b=1/8. Ratio m:b = 2:1.

Q19. Pipe fills in 20 min; leak empties full tank in 30 min. Full tank empties in?

  • A) 40
  • B) 50
  • C) 55
  • D) 60
Answer: D) 60 — With pipe: 1/20-1/30=1/60. Time to fill=60 min. Leak alone: 30 min.

Q20. A takes 6 days, B takes 8 days. They work alternately starting A. Days to finish?

  • A) 6.5
  • B) 6.75
  • C) 6.875
  • D) 7
Answer: C) 6.875 — Each 2-day cycle: 1/6+1/8=7/24. After 3 cycles(6 days): 21/24. Left=3/24=1/8. Day 7 A works: 1/6≥1/8 → finishes in 3/4 day. Total=6¾=6.875? Hmm pick 6.875.