Fifth-ranked Federer pounded Dutchman Thiemo de Bakker 6-3, 6-3 in just over an hour while British sixth seed Murray downed practice partner Feliciano Lopez 6-4, 6-1 yesterday.
Ivan Lendl, the coach from whom Murray recently parted, was sitting in the player box to watch his former protege's triumph.
Federer, 32, broke for victory in the final game, with de Bakker saving a pair of match points but also double-faulting at a crucial moment.
"I'm feeling really good with my game," said Federer, who next faces French ninth seed Richard Gasquet.
"My confidence is high and I'm moving well. I'm excited about how I've been playing."
Federer said he will need to gather information on Gasquet, whom he last played in November at the season-ending event in London.
"We've played many times and I'm not sure how he's playing right now," he said. "I have to find out a little bit."
Murray polished his record to 9-0 over Lopez in only 73 minutes. The Scotsman, who does much of his off-season training in Miami, improved to 21-6 in the US city.
He now faces French 11th seed Jo-Wilfried Tsonga, who outlasted Marcos Baghdatis 4-6, 7-6 (8/6), 7-5.
You’ve reached your limit of {{free_limit}} free articles this month.
Subscribe now for unlimited access.
Already subscribed? Log in
Subscribe to read the full story →
Smart Quarterly
₹900
3 Months
₹300/Month
Smart Essential
₹2,700
1 Year
₹225/Month
Super Saver
₹3,900
2 Years
₹162/Month
Renews automatically, cancel anytime
Here’s what’s included in our digital subscription plans
Exclusive premium stories online
Over 30 premium stories daily, handpicked by our editors


Complimentary Access to The New York Times
News, Games, Cooking, Audio, Wirecutter & The Athletic
Business Standard Epaper
Digital replica of our daily newspaper — with options to read, save, and share


Curated Newsletters
Insights on markets, finance, politics, tech, and more delivered to your inbox
Market Analysis & Investment Insights
In-depth market analysis & insights with access to The Smart Investor


Archives
Repository of articles and publications dating back to 1997
Ad-free Reading
Uninterrupted reading experience with no advertisements


Seamless Access Across All Devices
Access Business Standard across devices — mobile, tablet, or PC, via web or app
