ShortCut Method:

When two objects start from A and B with speeds u and v respectively, and after crossing each other take a and b hours to reach B and A respectively, then u : v = √b/a

Here,Time taken by Anuj and Veer is,

54 Minutes and 24 Minutes

Therefore Speed of Anuj and Veer is

=√(24/54)

=  √(4/9)

 Anuj/Veer =2/3

Therefore Total Distance=Distance travelled by Anuj and Distance travelled by Veer

=54*2  +    24*3

=108 +  72

Total Distance=180km

Time taken by Veer=Total Distance/Speed

=180/3

 Time taken by Veer =60Minutes