Agra has a north-south broad gauge line intersecting an east-west broad gauge line. The crossing is around the Rui Ki Mandi area where the east west line passes under the North South line.[1]
Two broad gauge lines come from Bharatpur and Bayana respectively. Both of these lines are single and electrified. These two lines converge just before Idgah Jn. and the common line continues up to Tundla Jn on Delhi - Howrah line.
There are direct trains between Agra and Mumbai, but all of them take around 24 hours. It is much better to take August Kranti Rajdhani Express or the Garib Rath which take only around 16 hours from Mathura, which is one hour's drive from Agra.