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HomeSSC GDSsc Gd MathB7. Time & Work (समय और कार्य)
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B7. Time & Work (समय और कार्य)

Work rate • Together work • Efficiency

Chapter Overview (English + हिंदी)

Treat work as 1 unit. If A finishes in x days, A's rate = 1/x. Add rates for together work.

काम को 1 unit मानो। A x दिन में करता है तो उसकी दर 1/x होगी। साथ में काम के लिए दर जोड़ते हैं।

Professor Tip: पहले formula याद, फिर 5 सवाल speed से, फिर 1-2 सवाल deep समझ से.

Important Formulas / महत्वपूर्ण सूत्र

If A completes in x days ⇒ rate = 1/x work/day
Together time for A & B ⇒ 1/T = 1/x + 1/y
Efficiency ∝ 1/time (समय कम ⇒ दक्षता ज्यादा)

Quick Tricks / त्वरित ट्रिक्स

  • Always convert to rate.
  • LCM method भी चलता है (work=LCM of days).
  • Together time = 1/(sum of rates).

Practice MCQs (6) – Answer Hidden by Default

Click “Show Answer” for each question. (SSC GD level)

Q1. A completes work in 10 days. Rate =
A 10 दिन में काम करता है। दर =
Answer: B (1/10)
Explanation: Rate=1/10 work per day.
Trick: Rate = 1/days
Q2. A in 12 days, B in 18 days. Together time:
A 12 दिन, B 18 दिन। साथ में समय:
Answer: A (7.2 days)
Explanation: 1/T=1/12+1/18= (3+2)/36=5/36 ⇒ T=36/5=7.2
Trick: Add fractions quickly.
Q3. If A is twice as efficient as B and B takes 12 days, A takes:
A की दक्षता B की 2 गुना है। B 12 दिन लेता है। A:
Answer: A (6 days)
Explanation: Time inversely proportional to efficiency: A time = 12/2=6.
Trick: Efficiency double ⇒ time half.
Q4. A can do a work in 8 days. A works 3 days. Remaining work =
A 8 दिन में काम करता है। 3 दिन काम किया। शेष काम:
Answer: A (5/8)
Explanation: Done=3/8, remaining=1−3/8=5/8.
Trick: Work done = days/total days.
Q5. A does 60% work in 6 days. Total time for full work:
A 6 दिन में 60% काम करता है। पूरा समय:
Answer: C (10 days)
Explanation: If 60% in 6 days ⇒ 100% in 6×100/60=10.
Trick: Direct proportion.
Q6. A & B together finish in 4 days. A alone in 6 days. B alone in:
A+B 4 दिन। A अकेला 6 दिन। B अकेला:
Answer: A (12 days)
Explanation: 1/4=1/6+1/B ⇒ 1/B=1/4−1/6=(3−2)/12=1/12 ⇒ B=12.
Trick: Together rate − A rate.
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