YAKIMA, Wash. —Bail was set Friday for two men police say were in a street race that ended in a crash that seriously injured a mother running errands with her 4-year-old son.

In their first court appearance, Everardo Jaime-Nava, 23, was ordered held on $50,000 bail, while 18-year-old Jose A. Badillo Ramirez’s bail was set at $10,000.

Police said Jaime and Badillo were racing each other Thursday when Jaime’s Jeep Cherokee broadsided the driver’s side of a Toyota Corolla that was pulling out of a Burger King in the 2700 block of Nob Hill Boulevard.

The Toyota’s driver, Marie Parks of Yakima, suffered multiple internal injuries, including broken ribs, a collapsed lung and a lacerated spleen. Parks, who turns 26 today, remained hospitalized Friday in fair condition at Yakima Valley Memorial Hospital.

Her young son, Anthony, suffered numerous cuts and scrapes from flying glass, but otherwise escaped serious injury.

In arrest affidavits for both men, police said witnesses told them Jaime’s Jeep was racing a small white car west on Nob Hill and that the white car barely missed the Toyota before the Toyota was struck by the Jeep.

Witnesses estimated the speed of the two cars at more than 60 mph. The speed limit on that stretch of Nob Hill, a four-lane arterial and one of the city’s most congested thoroughfares, is 35 mph.

Jaime’s Jeep was crippled in the crash and he was arrested at the scene, having suffered only minor injuries. Police said Jaime told them he began racing the white car after the driver revved his engine and that he and the white car were side by side until the crash.

Badillo was arrested hours after the crash after police tracked him to a home in the 800 block of South 13th Street. Police said a 6-year-old boy in another car had captured an image of the white car — and its license plate — on a cellphone moments before the crash.

According to police, Badillo said the Jeep driver was harassing him for several blocks before the collision, that he never exceed the speed limit by more than 10 mph, and that he had dropped back about a block moments before the crash.

He said he failed to stop because he had no liability insurance as required by law, police said. He said he also did not know the driver of the Jeep.

In his court appearance Friday, Badillo told District Judge Donald Engel that he is a student, but he did not say where.

Jaime told the court he is employed, makes about $1,500 a month and is supporting three people. Engel approved court-appointed attorneys for both men.

In addition to bail in relation to the crash, both men are being held on no-bail immigration detainers.

Their joint appearance in court was delayed for nearly 45 minutes while court personnel rounded up a Spanish language interpreter.

Arraignment is set for March 29. Prosecutors have until Tuesday to file criminal charges while the suspects are in custody.