diff --git a/BE/src/heartbeat/heartbeat.module.ts b/BE/src/heartbeat/heartbeat.module.ts
index aba62a7..d97973a 100644
--- a/BE/src/heartbeat/heartbeat.module.ts
+++ b/BE/src/heartbeat/heartbeat.module.ts
@@ -4,9 +4,10 @@ import { HeartbeatController } from './heartbeat.controller';
 import { AuthModule } from 'src/auth/auth.module';
 import { UsersModule } from 'src/users/users.module';
 import { RedisService } from 'src/common/redis.service';
+import { StudyLogsModule } from 'src/study-logs/study-logs.module';
 
 @Module({
-  imports: [AuthModule, UsersModule],
+  imports: [AuthModule, UsersModule, StudyLogsModule],
   controllers: [HeartbeatController],
   providers: [HeartbeatService, RedisService],
 })
diff --git a/BE/src/heartbeat/heartbeat.service.ts b/BE/src/heartbeat/heartbeat.service.ts
index a49f267..78784a1 100644
--- a/BE/src/heartbeat/heartbeat.service.ts
+++ b/BE/src/heartbeat/heartbeat.service.ts
@@ -1,9 +1,23 @@
 import { Injectable } from '@nestjs/common';
+import { InjectRepository } from '@nestjs/typeorm';
+import { Categories } from 'src/categories/categories.entity';
 import { RedisService } from 'src/common/redis.service';
+import { StudyLogs } from 'src/study-logs/study-logs.entity';
+import { StudyLogsService } from 'src/study-logs/study-logs.service';
+import { UsersModel } from 'src/users/entity/users.entity';
+import { Repository } from 'typeorm';
+import moment from 'moment';
 
 @Injectable()
 export class HeartbeatService {
-  constructor(private redisService: RedisService) {}
+  constructor(
+    private redisService: RedisService,
+    @InjectRepository(StudyLogs)
+    private studyLogsRepository: Repository<StudyLogs>,
+    @InjectRepository(UsersModel)
+    private usersRepository: Repository<UsersModel>,
+    private studyLogsService: StudyLogsService,
+  ) {}
 
   recordHeartbeat(userId: number) {
     this.redisService.hset(`${userId}`, 'received_at', `${Date.now()}`);
@@ -19,9 +33,58 @@ export class HeartbeatService {
           'received_at',
         );
         if (now - +received_at > 30000) {
+          await this.removeOldData(clientId);
           await this.redisService.del(`${clientId}`);
+          await this.usersRepository.update(
+            { id: +clientId },
+            { is_studying: false },
+          );
         }
       }
     }, 10000);
   }
+
+  async removeOldData(clientId: string): Promise<void> {
+    const started_at = await this.redisService.hget(
+      `${clientId}`,
+      'started_at',
+    );
+    const received_at = await this.redisService.hget(
+      `${clientId}`,
+      'received_at',
+    );
+    const category_id = await this.redisService.hget(
+      `${clientId}`,
+      'category_id',
+    );
+
+    const learning_time = moment(+received_at).diff(started_at, 's');
+    const moment_received_at = moment(+received_at);
+    const offset = await this.usersRepository.findOne({
+      select: ['timezone'],
+      where: { id: +clientId },
+    });
+
+    const received_at_with_offset = `${moment_received_at.format(
+      'YYYY-MM-DD HH:mm:ss',
+    )}${offset.timezone}`;
+
+    const learningTimes = this.studyLogsService.calculateLearningTimes(
+      received_at_with_offset,
+      +learning_time,
+    );
+
+    for (const { started_at, date, learning_time } of learningTimes) {
+      const studyLog = this.studyLogsRepository.create({
+        type: 'finish',
+        date,
+        learning_time,
+        created_at: started_at,
+        user_id: { id: +clientId } as UsersModel,
+        category_id: { id: +category_id || null } as Categories,
+        is_finished: false,
+      });
+      await this.studyLogsRepository.save(studyLog);
+    }
+  }
 }
diff --git a/BE/src/mates/mates.service.ts b/BE/src/mates/mates.service.ts
index 875460a..a342067 100644
--- a/BE/src/mates/mates.service.ts
+++ b/BE/src/mates/mates.service.ts
@@ -131,8 +131,8 @@ export class MatesService {
         LEFT JOIN mates m ON m.following_id = u.id
         LEFT JOIN study_logs s ON s.user_id = u.id AND s.date = DATE(CONVERT_TZ(?, ?, u.timezone))
         WHERE m.follower_id = ? 
-        GROUP BY u.id, m.fixation
-        ORDER BY m.fixation DESC, total_time DESC
+        GROUP BY u.id, m.is_fixed
+        ORDER BY m.is_fixed DESC, u.is_studying DESC, total_time DESC
       `,
       [followerDate, followerTimezone, followerId],
     );
diff --git a/BE/src/study-logs/dto/request/create-study-logs.dto.ts b/BE/src/study-logs/dto/request/create-study-logs.dto.ts
index aede1a2..47fd605 100644
--- a/BE/src/study-logs/dto/request/create-study-logs.dto.ts
+++ b/BE/src/study-logs/dto/request/create-study-logs.dto.ts
@@ -9,7 +9,7 @@ export class StudyLogsCreateDto {
 
   @ApiProperty({
     type: 'date',
-    example: '2023-11-23 11:00:12',
+    example: '2023-11-23 11:00:12+09:00',
     description: '학습을 시작/종료 시점의 시간',
   })
   created_at: string;
diff --git a/BE/src/study-logs/study-logs.entity.ts b/BE/src/study-logs/study-logs.entity.ts
index 55a5809..2b6f5c9 100644
--- a/BE/src/study-logs/study-logs.entity.ts
+++ b/BE/src/study-logs/study-logs.entity.ts
@@ -21,18 +21,23 @@ export class StudyLogs {
 
   @Column({ type: 'datetime' })
   @IsString()
-  @Matches(/^\d{4}-\d{2}-\d{2} \d{2}:\d{2}:\d{2}$/i, {message: '올바른 시간 형식이 아닙니다.'})
+  @Matches(/^\d{4}-\d{2}-\d{2} \d{2}:\d{2}:\d{2}$/i, {
+    message: '올바른 시간 형식이 아닙니다.',
+  })
   created_at: Date;
 
   @Column({ type: 'enum', enum: ['start', 'finish'] })
   @IsString()
-  @Matches(/^(start|finish)$/i, {message: '올바른 타입이 아닙니다.'})
+  @Matches(/^(start|finish)$/i, { message: '올바른 타입이 아닙니다.' })
   type: 'start' | 'finish';
 
   @Column({ type: 'int', default: 0 })
   @IsNumber()
   learning_time: number;
 
+  @Column({ type: 'boolean', default: true })
+  is_finished: boolean;
+
   @ManyToOne(() => UsersModel, (user) => user.study_logs, {
     eager: true,
     onDelete: 'CASCADE',
diff --git a/BE/src/study-logs/study-logs.service.ts b/BE/src/study-logs/study-logs.service.ts
index 755bd84..34ad599 100644
--- a/BE/src/study-logs/study-logs.service.ts
+++ b/BE/src/study-logs/study-logs.service.ts
@@ -27,6 +27,12 @@ export class StudyLogsService {
     const { created_at } = studyLogsData;
     await this.redisService.hset(`${user_id}`, 'started_at', `${created_at}`);
     await this.redisService.hset(`${user_id}`, 'received_at', `${Date.now()}`);
+    await this.redisService.hset(
+      `${user_id}`,
+      'category_id',
+      `${studyLogsData.category_id ?? null}`,
+    );
+    await this.usersRepository.update({ id: user_id }, { is_studying: true });
   }
 
   async createFinishLog(
@@ -54,6 +60,7 @@ export class StudyLogsService {
       await this.studyLogsRepository.save(studyLog);
     }
     await this.redisService.del(`${user_id}`);
+    await this.usersRepository.update({ id: user_id }, { is_studying: false });
   }
 
   async findAll(): Promise<StudyLogs[]> {
diff --git a/BE/src/users/entity/users.entity.ts b/BE/src/users/entity/users.entity.ts
index 3753e0a..fe21eba 100644
--- a/BE/src/users/entity/users.entity.ts
+++ b/BE/src/users/entity/users.entity.ts
@@ -59,6 +59,12 @@ export class UsersModel {
   })
   timezone: string;
 
+  @Column({
+    type: 'boolean',
+    default: false,
+  })
+  is_studying: boolean;
+
   @OneToMany(() => StudyLogs, (studyLog) => studyLog.user_id)
   study_logs: StudyLogs[];