Indian Institute of Foreign Trade 2016 Solved Paper

(a) According to question,

Let the distance between Delhi and Noida is x km.
Let they first meet at point A after one hour.
Distance covered by Shruti = 2x – d
Distance covered by Krishna = d
∴ Ratio of speeds of Shruti and Krishna is 2x – d : d ...(i)
Let next they meet at B after half an hour. As Krishna covered distance ‘d’ in one hour, so he will cover distance

′d′

2

in half an hour ∴ AB =

d

2

Distance covered by Shruti in second meeting
= x−d+(x−

3d

2

)=2x−

5d

2

∴Ratio of speeds of Shruti and Krishna is
2x−

5d

2

:

d

2

...(ii)

2x−d

d

=

2x− 5d 2

d 2

⇒2x−d=4x−5d
⇒2x=4d⇒x=2d
Now Krishna covered distance ‘d’ in one hour, so he will cover distance between Delhi to Noida in 2 hours.