Time, Speed & Distance – Complete Concept Guide for CHSL 2026

Master Time, Speed & Distance with this comprehensive study guide designed specifically for CHSL aspirants. This guide covers key concepts, shortcuts, and includes 10 practice MCQs to test your understanding.

Number System & Basic Mathematics

Quantitative Aptitude is a key section in most competitive exams. Mastering fundamentals helps solve questions quickly.

Important Formulas

  • Percentage: (Part/Whole) × 100
  • Simple Interest: SI = PRT/100; Amount = P + SI
  • Compound Interest: A = P(1 + r/100)^n; CI = A - P
  • Profit & Loss: Profit% = (Profit/CP) × 100; SP = CP × (100 + P%)/100
  • Time & Work: If A does work in 'a' days, A's 1 day work = 1/a
  • Speed, Distance, Time: D = S × T; Average Speed = 2S1S2/(S1+S2) for equal distance

Ratio & Proportion

  • If a:b = c:d, then ad = bc (cross multiplication)
  • Componendo: (a+b):(a-b) = (c+d):(c-d)

Key Tricks

  • For CI vs SI: Difference for 2 years = P(r/100)²
  • If A is x% more than B, then B is [x/(100+x)]×100% less than A
  • Successive discount of a% and b% = a + b - ab/100

Practice MCQs: Time, Speed & Distance

Test your understanding with these 10 targeted MCQs based on the concepts above.

Q1. What is 15% of 240?

  • A. 32
  • B. 36
  • C. 38
  • D. 40

Correct Answer: B

15% of 240 = (15/100) × 240 = 0.15 × 240 = 36.

Q2. A shopkeeper buys an article for ₹800 and sells it for ₹1000. What is the profit percentage?

  • A. 20%
  • B. 22%
  • C. 25%
  • D. 28%

Correct Answer: C

Profit = 1000 - 800 = ₹200. Profit% = (200/800) × 100 = 25%.

Q3. Simple Interest on ₹5000 at 8% per annum for 3 years is:

  • A. ₹1000
  • B. ₹1200
  • C. ₹1500
  • D. ₹1800

Correct Answer: B

SI = PRT/100 = 5000 × 8 × 3 / 100 = 120000/100 = ₹1200.

Q4. If A can do a work in 12 days and B can do it in 18 days, how many days will they take together?

  • A. 6.5 days
  • B. 7.2 days
  • C. 8 days
  • D. 9 days

Correct Answer: B

A's 1 day work = 1/12; B's 1 day work = 1/18. Together = 1/12 + 1/18 = 3/36 + 2/36 = 5/36. Days = 36/5 = 7.2 days.

Q5. A train travels 360 km in 4 hours. What is its speed in km/h?

  • A. 80 km/h
  • B. 85 km/h
  • C. 90 km/h
  • D. 95 km/h

Correct Answer: C

Speed = Distance/Time = 360/4 = 90 km/h.

Q6. The ratio of two numbers is 3:5. If both are increased by 10, the ratio becomes 5:7. Find the numbers.

  • A. 15 and 25
  • B. 18 and 30
  • C. 15 and 25
  • D. 12 and 20

Correct Answer: A

Let numbers be 3x and 5x. (3x+10)/(5x+10) = 5/7. 21x+70 = 25x+50. 4x=20. x=5. Numbers = 15 and 25.

Q7. What is the compound interest on ₹10000 at 10% per annum for 2 years?

  • A. ₹1900
  • B. ₹2000
  • C. ₹2100
  • D. ₹2200

Correct Answer: C

A = 10000(1+10/100)² = 10000 × 1.21 = ₹12100. CI = 12100-10000 = ₹2100.

Q8. If selling price = ₹750 and loss = 25%, find the cost price.

  • A. ₹900
  • B. ₹950
  • C. ₹1000
  • D. ₹1050

Correct Answer: C

SP = CP × (100-Loss%)/100. 750 = CP × 75/100. CP = 750×100/75 = ₹1000.

Q9. Two successive discounts of 20% and 10% are equivalent to a single discount of:

  • A. 28%
  • B. 29%
  • C. 30%
  • D. 32%

Correct Answer: A

Equivalent discount = a+b-ab/100 = 20+10-200/100 = 30-2 = 28%.

Q10. Average of 5 numbers is 27. If one number is excluded, average becomes 25. What is the excluded number?

  • A. 35
  • B. 37
  • C. 39
  • D. 41

Correct Answer: A

Sum of 5 numbers = 5×27 = 135. Sum of 4 numbers = 4×25 = 100. Excluded number = 135-100 = 35.

Continue your preparation with more concept guides and practice sets on GPT Sir!