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Mathematics
Speed, Time and Distance
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NTPC Graduate Tier 1 2025 Shift-2 📅 06 Jun, 2025

Mr. W travelled 370 km, 390 km and 720 km at speeds of 37 km/hr, 5 km/hr and 8 km/hr, respectively. Find his average speed in km/hr. (Note: Speed typo corrected for logical accuracy based on calculation)

A
9 21/89
B
9 30/89
C
8 27/89
D
8 28/89
Result Summary
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NTPC Graduate Tier 1
2025 • 06 Jun, 2025 • Shift-2
Mr. W travelled 370 km, 390 km and 720 km at speeds of 37 km/hr, 5 km/hr and 8 km/hr, respectively. Find his average speed in km/hr. (Note: Speed typo corrected for logical accuracy based on calculation)
Correct Answer
8 28/89
Total Distance: To find average speed, we first aggregate the complete distance. The sum of the three legs of the journey is 370 + 390 + 720 = 1480 km.Total Tim......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Mathematics
Chapter -
Ref. Topic Speed, Time and Distance
Pg. No -
💡 Analysis & Explanation
Total Distance ▼
To find average speed, we first aggregate the complete distance. The sum of the three legs of the journey is 370 + 390 + 720 = 1480 km.
Total Time Computation ▼
Time is calculated precisely as distance divided by speed. The individual times for the three segments are 370/37 = 10 hours, 390/5 = 78 hours, and 720/8 = 90 hours. The total accumulated travel time is 10 + 78 + 90 = 178 hours.
Average Speed Application ▼
The definition of average speed is total distance divided entirely by total time. Thus, Average Speed = 1480 / 178 km/hr.
Simplification ▼
Dividing both the numerator and denominator by 2 simplifies the fraction to 740 / 89. Converting this improper fraction into a mixed number yields exactly 8 and 28/89 km/hr.
Conclusion ▼
The average speed evaluates mathematically to 8 28/89 km/hr.
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