Question
Download Solution PDFRamesh, on his way to his hometown, travelled the first 250 km at a speed of 75 km/h and the next 250 km at a speed of 85 km/h. Find the average speed for the whole journey(correct to 2 decimal places).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of Ramesh for 1st 250 km = 75 km/h
Speed of Ramesh for 2nd 250 km = 85 km/h
Formula used:
Average speed = Total distance/total time taken
Calculation:
Total distance = 250 + 250 = 500 km
Total time taken = (250/75) + (250/85)
⇒ 250 × (1/75 + 1/85)
⇒ 250 × {(17 + 15)/1275}
⇒ 320/51
Average speed = Total distance/total time taken
⇒ 500/(320/51) = (500 × 51)/320
⇒ (25 × 51)/16 = 79.68 km/h
∴ The correct answer is 79.68 km/h.
Alternate MethodCalculation:
| Time | Speed | Distance |
| 17 | 75 | 1275 |
| 15 | 85 |
Now,
Average speed = (1275 × 2)/(17 + 15)
⇒ 2550/32 = 1275/16 = 79.68 km/h
∴ The correct answer is 79.68 km/h.
Last updated on Jul 12, 2025
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