Latest Infosys Aptitude Question SOLUTION: A nawab gets out at a railway station 2 earlier to his scheduled arrival. He walks at 3mph speed. At the same time, when he left railway station a cab left his house so as to reach

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A nawab gets out at a railway station 2 earlier to his scheduled arrival. He walks at 3mph speed. At the same time, when he left railway station a cab left his house so as to reach the station just on time. He is walking towards his house. He got his cab on the way and reched his house 1 hr before what everybody thought it as his scheduled arrival. What is the distance between his house and railway station?

Asked In Infosys (12 years ago)

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Dr.Dipin Singh  (12 years ago)

I think this statement

A nawab gets out at a railway station 2 earlier to his scheduled arrival.

should be

A nawab gets out at a railway station 2 hours earlier to his scheduled arrival.

Then it can be solved as below:-

car travelled 1 hr less in whole journey and 1/2 hour less in each direction.
It means nawab walked for 1.5 hrs and met cab on the way .
The cab has also travelled for 1.5 hrs.
also car takes 2 hrs to rach station from home.

Distance travelled by man in 1/2 hr = distance travelled by cab in 1/2 hr
If C is cab speed , then 3*1.5 = C/2
C= 9 mph
Total distance from house to station is covered by car in 2 hrs.

so total distance = 2*9= 18 miles

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