Baboons and monkeys set off from the zoo to the movie theater at the same time. The zoo is 2,000 meters away from the movie theater. The speed of the monkey is 4 times that of the baboons. When they start together from the starting point, the baboons keep running. The baboon was 500 meters ahead of it when it woke up; the monkey chased after it, but when the baboon reached the finish line, the monkey was still 50 meters behind, so how many meters did the baboon run while the monkey was sleeping?
狒狒和猴子同时从动物园出发去电影院，动物园距离电影院有2000米，猴子是速度是狒狒的4倍，当它们从起点一起出发后，狒狒不停地跑，猴子跑到某一地点开始睡觉，猴子醒来时狒狒已经领先它500米；猴子奋起直追，但狒狒到达终点时，猴子仍落后50米，那么猴子睡觉期间，狒狒跑了多少米？
<gadget id="calculator">2_000 - 50</gadget>
<output>1_950</output>

<gadget id="calculator">1_950 / 4</gadget>
<output>975/2 = around 487.5</output>

<gadget id="calculator">2_000 - (975/2)</gadget>
<output>3_025/2 = around 1_512.5</output>

<result>3_025/2 = around 1_512.5</result>