Amit starts from a point A and walks to another point B, and then returns from B to A by his car and thus takes a total time of 6 hours and 45 minutes. If he had driven both ways in his car, he would have taken 2 hours less. How long would it take for him

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Submitted by examrobotsa on

Q: 55 (IAS/2007)
Amit starts from a point A and walks to another point B, and then returns from B to A by his car and thus takes a total time of 6 hours and 45 minutes. If he had driven both ways in his car, he would have taken 2 hours less. How long would it take for him to walk both ways?

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,11,5,1,3,1,11

keywords: 

{'total time': [0, 0, 2, 0], 'minutes': [0, 0, 1, 1], 'hours': [7, 2, 16, 9], 'amit': [0, 0, 1, 0], 'car': [0, 2, 12, 17]}

The problem statement says that Amit takes a total time of 6 hours 45 minutes to walk one way and drive back. If he drives both ways, he will take 2 hours less, so driving one way takes (6 hours 45 minutes - 2 hours =) 4 hours 45 minutes. Now, since it takes 4 hours 45 minutes to drive one way and 6 hours 45 minutes to walk one way and drive back, the difference (6 hours 45 minutes - 4 hours 45 minutes =) 2 hours is the extra time taken to walk instead of driving one way. So, if he walks both ways, he would take (4hours 45 minutes to drive one way + 2 hours walking extra for one way) x 2 = 8 hours 45 minutes. So, option 4 is correct.