A surveyor covers 5 km in 2 hours in hilly terrain. In plains, he walks 50% faster. How long will he take to cover 10 km - 6 km hills and 4 km plains?
Correct answer: B. 4 hrs
- A. 3.6 hrs
- B. 4 hrs
- C. 4.2 hrs
- D. 5 hrs
Explanation
To solve this problem, first calculate the surveyor's speed in each terrain type. In hilly terrain, he covers 5 km in 2 hours, which gives a speed of 2.5 km/h. In the plains, he walks 50% faster, so his speed increases to 3.75 km/h (2.5 km/h * 1.5). For the 6 km in hilly terrain, the time taken is 6 km / 2.5 km/h = 2.4 hours. For the 4 km in the plains, the time taken is 4 km / 3.75 km/h = 1.6 hours. Adding these two times gives a total of 4 hours.Option A (3.6 hrs) underestimates the time in the plains, Option C (4.2 hrs) includes a slight calculation error, leading to an overestimation, and Option D (5 hrs) assumes no increase in speed in the plains, which is incorrect.
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