[12 km] A man starts walking at 3 pm . he walks at a speed of 4 km/hr on level ground and at a speed of 3 km

For Competitive Exams

A man starts walking at 3 pm . he walks at a speed of 4 km/hr on level ground and at a speed of 3 km/hr on uphill , 6 km/hr downhill and then 4 km/hr on level ground to reach home at 9 pm. What is the distance covered on one way?

12 km

23 km

45 km

65 km

Explanation:

lets us consider t1 = time taken on level road. t2 = uphill. t3 = down hill; the distance traveled uphill and down hill same so t2 $\times$ 3 = 6 $\times$ t3;

=> t2

= 2t3;---> (1) total time = 2 $\times$ t1 + t2 + t3 = 6 hours ---> (2) 2t1+3t3 = 6 -->(3) total distance = 2 $\times$ (4t1) + 3 $\times$ t2+ 6$\times$ t3 ---> (4)

substitute (1) in (4) 8t1 + 12t3 => 4(2t1+3t3) then from (3) the total distance will become 4 $\times$ 6= 24 => one way distance = 12km

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