How to increase speed on my hybrid bike with flat handlebars and 700X35C tyres? I have Montra Blues 1.1 hybrid bike with flat handlebar and 700x35C tyres. When I try to lean forward and try to increase my speed, my hands get fatigued and I can’t do it for longer durations. 

How can I go faster on a hybrid bike with this tyre and handlebar combination? Can you suggest ways to increase my speed?

Edit (added from comments): my average speed is 11mph and max speed is 20mph. I usually ride for 40-50 mins daily.
Before looking to improve the bike, I'd look to improve your fitness.  I was able to average 13&ndash;14mph on my hybrid for 1&ndash;1.5hrs; at that time, I was commuting 3&ndash;5 miles each way per day and maybe a weekend ride of 15&ndash;20 miles once or twice a month.

Hybrids aren't designed for going fast but, at 11mph, there's not a huge aerodynamic difference between the more upright position on a hybrid and the lower position on a road bike.  Make sure your bike is properly maintained&nbsp;&ndash; a rusty chain and, especially, soft tyres sap a lot of power.

I'm assuming your bike has reasonably smooth tyres but a possible bike upgrade that hasn't been mentioned yet in other answers is narrower tyres.  I wouldn't spend any money yet but your tyres will wear out eventually and that would be something to consider then.

You might find that tracking your times on a site such as Strava helps motivate you to improve. Their app will work with your phone's GPS.