Well done to everyone who sent in solutions for this one. The following people managed to have the correct leaving times for both of the riders as well as explaining how they worked it out:
Chris Kelly (Age11, Ranelagh,Bracknell)
Thomas Winspear and Ben Elder (Year 5, Yarm Primary School, Stockton on Tees)
Jason Day (Priory Middle School, Dunstable)
Rowena Scott
Jesse Allen (Age 10), Sally Hutton (Age 11) from Tattingstone School, UK
Jonathon Baldwin (Age 10, Crofton Junior School, Kent) Excellent presentation!

The answer was explained well by Emily Manning (Age 11, Tattingstone School)
"To work out this problem all I did was find out how long it would take them to get there subtracted it away from the 12:00 deadline. For example, if it took Nirmala 1 hour to go 6 km, it would take her 11/2 hours to get there because I had to add on the extra 3 km. (I worked out that it would be 1/2 hour extra because 6 is one hour so half of 6 is 3 and 3 would therefore be 1/2 an hour).

PHEW!

If she wanted to get there for noon she would have to leave at 10:30.

I did the same to work out how long it would take for Riki to get there. If it took him 1 hour to go 4 km it would take 2 hours to go 8 km. He had 1 km to go and I found that it would take him an extra 15 minutes to get there because if it takes 1/2 an hour (30 mins) to go another 1 km. So altogether it would take him 2 hours and 15 mins to get there and he would therefore have to leave at 9:45.

PHEW AGAIN!"

Most people did it the way described by Emily, but Daniel Loh (Age 10, Anglo-Chinese School, Singapore) did it differently. He took the distance to Market and divided it by the distance travelled in one hour. The answer gave the number hours it would take. So....

9 000 m ÷ 6 000 m = 1.5 hours
9 000 m ÷ 4 000 m = 2.25 hours
(Excellent presentation, Daniel)