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The distance from A to B is 60 km | Quantitative Aptitude - Arithmetic – Time Speed and Distance

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Time Speed and Distance: The distance from A to B is 60 km. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2018 - Slot-1 - Time Speed and Distance - Question-2 - The distance from A to B is 60 km

Q. 2: The distance from A to B is 60 km. Partha and Narayan start from A at the same time and move towards B. Partha takes four hours more than Narayan to reach B. Moreover, Partha reaches the mid-point of A and B two hours before Narayan reaches B. The speed of Partha, in km per hour, is

1.  4

2   6

3.  5

4.  3

let time taken by Narayan to reach B = t hour

 

So time taken by Partha to reach B = (t+4) hours

 

Time taken by Partha to reach mid point of A and B = (t+ 4)/2

 

Given t – (t+ 4)/2 = 2

 

2t – t – 4 = 4

 

t = 8 hours

 

Speed of Partha = 60/(t+4) = 60/12 = 5 km/hour

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