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30 Multi-step word problems Questions and Answers

30 solved Multi-step word problems questions with step-by-step explanations. Includes formulas, shortcuts, and tips for placement tests and competitive exams.

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Advanced multi-step word problems questions for experienced learners. These medium-to-hard questions test deeper understanding and are ideal for those who have already mastered the basics. Each question includes a detailed explanation.

Key Formulas

Break into sub-problems: Part 1 → Result 1 → Part 2 → Result 2 Define all variables before writing equations Check units match across all steps Validate final answer against original question
Q1 Medium

A person travels 100 km at 50 km/h and then 100 km at 50 km/h. Find overall average speed.

  • A. 54
  • B. 46
  • C. 42
  • D. 50 ✓
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 200. Total time = 2+2 = 4. Avg speed = 50 km/h.
Q2 Medium

An item marked Rs. 1700 gets 20% discount, then 20% GST is added. Find final price.

  • A. 1592
  • B. 1632 ✓
  • C. 1672
  • D. 1552
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 1360. Final = 1360 x (100+20)/100 = 1632.
Q3 Medium

A person travels 150 km at 50 km/h and then 150 km at 50 km/h. Find overall average speed.

  • A. 50 ✓
  • B. 54
  • C. 42
  • D. 46
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 300. Total time = 3+3 = 6. Avg speed = 50 km/h.
Q4 Medium

An item marked Rs. 3400 gets 10% discount, then 20% GST is added. Find final price.

  • A. 3592
  • B. 3672 ✓
  • C. 3712
  • D. 3632
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 3060. Final = 3060 x (100+20)/100 = 3672.
Q5 Medium

A person travels 100 km at 50 km/h and then 200 km at 50 km/h. Find overall average speed.

  • A. 54
  • B. 42
  • C. 50 ✓
  • D. 46
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 300. Total time = 2+4 = 6. Avg speed = 50 km/h.
Q6 Medium

An item marked Rs. 4800 gets 10% discount, then 20% GST is added. Find final price.

  • A. 5184 ✓
  • B. 5104
  • C. 5224
  • D. 5144
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 4320. Final = 4320 x (100+20)/100 = 5184.
Q7 Medium

A person travels 160 km at 40 km/h and then 160 km at 40 km/h. Find overall average speed.

  • A. 36
  • B. 44
  • C. 32
  • D. 40 ✓
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 320. Total time = 4+4 = 8. Avg speed = 40 km/h.
Q8 Medium

An item marked Rs. 5000 gets 10% discount, then 10% GST is added. Find final price.

  • A. 4910
  • B. 4950 ✓
  • C. 4990
  • D. 4870
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 4500. Final = 4500 x (100+10)/100 = 4950.
Q9 Medium

A person travels 80 km at 40 km/h and then 80 km at 40 km/h. Find overall average speed.

  • A. 40 ✓
  • B. 44
  • C. 32
  • D. 36
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 160. Total time = 2+2 = 4. Avg speed = 40 km/h.
Q10 Medium

An item marked Rs. 3100 gets 20% discount, then 10% GST is added. Find final price.

  • A. 2688
  • B. 2768
  • C. 2648
  • D. 2728 ✓
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 2480. Final = 2480 x (100+10)/100 = 2728.
Q11 Medium

A person travels 120 km at 60 km/h and then 240 km at 60 km/h. Find overall average speed.

  • A. 60 ✓
  • B. 56
  • C. 64
  • D. 52
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 360. Total time = 2+4 = 6. Avg speed = 60 km/h.
Q12 Medium

An item marked Rs. 4400 gets 20% discount, then 10% GST is added. Find final price.

  • A. 3912
  • B. 3792
  • C. 3872 ✓
  • D. 3832
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 3520. Final = 3520 x (100+10)/100 = 3872.
Q13 Medium

A person travels 60 km at 30 km/h and then 120 km at 30 km/h. Find overall average speed.

  • A. 30 ✓
  • B. 34
  • C. 26
  • D. 22
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 180. Total time = 2+4 = 6. Avg speed = 30 km/h.
Q14 Medium

An item marked Rs. 1100 gets 20% discount, then 20% GST is added. Find final price.

  • A. 976
  • B. 1096
  • C. 1016
  • D. 1056 ✓
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 880. Final = 880 x (100+20)/100 = 1056.
Q15 Medium

A person travels 160 km at 40 km/h and then 120 km at 40 km/h. Find overall average speed.

  • A. 32
  • B. 44
  • C. 36
  • D. 40 ✓
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 280. Total time = 4+3 = 7. Avg speed = 40 km/h.
Q16 Medium

An item marked Rs. 4600 gets 20% discount, then 20% GST is added. Find final price.

  • A. 4376
  • B. 4416 ✓
  • C. 4336
  • D. 4456
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 3680. Final = 3680 x (100+20)/100 = 4416.
Q17 Medium

A person travels 150 km at 50 km/h and then 100 km at 50 km/h. Find overall average speed.

  • A. 42
  • B. 46
  • C. 50 ✓
  • D. 54
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 250. Total time = 3+2 = 5. Avg speed = 50 km/h.
Q18 Medium

An item marked Rs. 4300 gets 20% discount, then 10% GST is added. Find final price.

  • A. 3784 ✓
  • B. 3824
  • C. 3704
  • D. 3744
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 3440. Final = 3440 x (100+10)/100 = 3784.
Q19 Medium

A person travels 120 km at 60 km/h and then 180 km at 60 km/h. Find overall average speed.

  • A. 64
  • B. 60 ✓
  • C. 56
  • D. 52
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 300. Total time = 2+3 = 5. Avg speed = 60 km/h.
Q20 Medium

An item marked Rs. 3900 gets 20% discount, then 20% GST is added. Find final price.

  • A. 3784
  • B. 3704
  • C. 3744 ✓
  • D. 3664
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 3120. Final = 3120 x (100+20)/100 = 3744.
Q21 Medium

A person travels 90 km at 30 km/h and then 60 km at 30 km/h. Find overall average speed.

  • A. 34
  • B. 26
  • C. 22
  • D. 30 ✓
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 150. Total time = 3+2 = 5. Avg speed = 30 km/h.
Q22 Medium

An item marked Rs. 3000 gets 20% discount, then 10% GST is added. Find final price.

  • A. 2560
  • B. 2600
  • C. 2680
  • D. 2640 ✓
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 2400. Final = 2400 x (100+10)/100 = 2640.
Q23 Medium

A person travels 80 km at 40 km/h and then 160 km at 40 km/h. Find overall average speed.

  • A. 36
  • B. 40 ✓
  • C. 32
  • D. 44
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 240. Total time = 2+4 = 6. Avg speed = 40 km/h.
Q24 Medium

An item marked Rs. 2300 gets 20% discount, then 20% GST is added. Find final price.

  • A. 2208 ✓
  • B. 2168
  • C. 2128
  • D. 2248
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 1840. Final = 1840 x (100+20)/100 = 2208.
Q25 Medium

A person travels 200 km at 50 km/h and then 150 km at 50 km/h. Find overall average speed.

  • A. 54
  • B. 46
  • C. 42
  • D. 50 ✓
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 350. Total time = 4+3 = 7. Avg speed = 50 km/h.
Q26 Medium

An item marked Rs. 4000 gets 10% discount, then 20% GST is added. Find final price.

  • A. 4280
  • B. 4320 ✓
  • C. 4240
  • D. 4360
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 3600. Final = 3600 x (100+20)/100 = 4320.
Q27 Medium

A person travels 120 km at 30 km/h and then 90 km at 30 km/h. Find overall average speed.

  • A. 34
  • B. 30 ✓
  • C. 26
  • D. 22
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 210. Total time = 4+3 = 7. Avg speed = 30 km/h.
Q28 Medium

An item marked Rs. 2600 gets 20% discount, then 10% GST is added. Find final price.

  • A. 2288 ✓
  • B. 2248
  • C. 2208
  • D. 2328
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 2080. Final = 2080 x (100+10)/100 = 2288.
Q29 Medium

A person travels 180 km at 60 km/h and then 180 km at 60 km/h. Find overall average speed.

  • A. 60 ✓
  • B. 52
  • C. 64
  • D. 56
Explanation: Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). Total distance = 360. Total time = 3+3 = 6. Avg speed = 60 km/h.
Q30 Medium

An item marked Rs. 2900 gets 20% discount, then 20% GST is added. Find final price.

  • A. 2704
  • B. 2824
  • C. 2784 ✓
  • D. 2744
Explanation: To find the value after a discount, multiply the original value by (100 ± percentage) ÷ 100. After discount = 2320. Final = 2320 x (100+20)/100 = 2784.

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