The narrator of this passage is Ruskin. Ruskin and his friend Mohan, were waiting to be invited for a drive in the car, as mentioned in these lines:
"After tea, Uncle Ken said, 'Come along, Ruskin, hop in and I will give
you a ride. Bring Mohan along too.' Mohan and I needed no urging. We got
into the car beside Uncle Ken."
The line 'Mohan and I needed no urging' mean that they waiting for such an opportunity.