Jack travelled from home to office at an average rate of 40 km/hour .Then he drove back home from office at an average rate of 60 km /hour .If he spent a total of 2 hours in travelling and he took the same road each way,what is the total distance (in km) that Jack travelled?

A 48

B 60

C 96

D 108

Solution

Correct Answer: Option C

মনে করি,
বাড়ি থেকে অফিসের দূরত্ব =x km
অতএব , গড় বেগ =মোট দূরত্ব /মোট সময়
                          =(x+x)/ x/40   +x/60
                         =2x/ {(3x+2x)/12}
                         =2x/(5x/120)
                         =2x ×(120/5x)
                         =48 km/h
অতএব ,মোট দূরত্ব =2×48 =96 km

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