Q38. Sourav completes a journey in 5 hours. If he covers half of the distance at 5 km/h and the rema

Q: What is the correct answer for CUET UG Mathematics Q38?

The correct answer is a. Let the total distance travelled be 2d. So, half distance is d.Time for first half = d/5 hours. Time for second half = d/6 hours.Total time = (d/5) + (d/6) = (6d+5d)/30 = 11d/30 hours.Given total time = 5 hours.So, 11d/30 = 5 => 11d = 150 => d = 150/11 km. Total distance = 2d = 300/11 ≈ 27.27 km.(Note: The solution provided in the paper states 'd/5 + d/6 = 5/2' which implies total time is 2.5 hour

Q: Q38. Sourav completes a journey in 5 hours. If he covers half of the distance at 5 km/h and the remaining distance at 6 km/h, then find the total distance covered by him.

The correct answer is a. Let the total distance travelled be 2d. So, half distance is d.Time for first half = d/5 hours. Time for second half = d/6 hours.Total time = (d/5) + (d/6) = (6d+5d)/30 = 11d/30 hours.Given total time = 5 hours.So, 11d/30 = 5 => 11d = 150 => d = 150/11 km. Total distance = 2d = 300/11 ≈ 27.27 km.(Note: The solution provided in the paper states 'd/5 + d/6 = 5/2' which implies total time is 2.5 hour

Q: What are the options for this CUET UG Mathematics question?

A. 30 km · B. 35 km · C. 33 km · D. 39 km

Question

Q38. Sourav completes a journey in 5 hours. If he covers half of the distance at 5 km/h and the remaining distance at 6 km/h, then find the total distance covered by him.

FirstInTest · Accepted Answer

Let the total distance travelled be 2d. So, half distance is d.Time for first half = d/5 hours. Time for second half = d/6 hours.Total time = (d/5) + (d/6) = (6d+5d)/30 = 11d/30 hours.Given total time = 5 hours.So, 11d/30 = 5 => 11d = 150 => d = 150/11 km. Total distance = 2d = 300/11 ≈ 27.27 km.(Note: The solution provided in the paper states 'd/5 + d/6 = 5/2' which implies total time is 2.5 hours, and then calculates 'd=15'. This calculation is inconsistent: if 11d/30 = 5/2, then 11d = 75, so d = 75/11. However, if d=15, then (15/5)+(15/6) = 3+2.5 = 5.5 hours. Given the provided answer 'a' is 30 km (2d=30, d=15), the journey would take 5.5 hours. Since the question states 5 hours, there's a discrepancy in the problem statement or solution. Following the provided solution's final answer derivation: 'd = 15. Then distance travelled by man = 2d = 30 km.')

Answer

30 km

Answer

35 km

Answer

33 km

Answer

39 km

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