In 2 weeks, an athlete’s daily average distance jogged is 10 Km. After 2 days, his new daily average is 11 Km. What is his daily average distance jogged in the last 2 days?

Let's solve the problem step by step.

1. **Initial Setup:**
   - The athlete's average distance jogged for 2 weeks (14 days) is 10 km/day.
   - This means the total distance jogged in 14 days is \( 14 \times 10 = 140 \) km.

2. **After 2 Days:**
   - The athlete's new daily average is 11 km/day. 
   - This means the total distance jogged over 16 days (14 days + 2 more days) is \( 16 \times 11 = 176 \) km.

3. **Distance Jogged in the Last 2 Days:**
   - The total distance jogged in the first 14 days is 140 km.
   - The total distance jogged in 16 days is 176 km.
   - Therefore, the distance jogged in the last 2 days is \( 176 - 140 = 36 \) km.

4. **Daily Average in the Last 2 Days:**
   - The average distance jogged per day in the last 2 days is \( \frac{36}{2} = 18 \) km/day.

So, the athlete's daily average distance jogged in the last 2 days is **18 km**.

Would you like more details on any part of this problem, or do you have any other questions?

Here are some related questions you might find interesting:

1. What would the new daily average be if the athlete jogged 20 km each of the next 2 days?
2. How many kilometers must the athlete jog over the next 4 days to increase the 16-day average to 12 km/day?
3. If the athlete jogs 5 km on one of the next 2 days, how would that affect the daily average over the 16 days?
4. What is the total distance the athlete needs to jog in the next week to maintain an 11 km/day average?
5. How would the 14-day average change if the athlete skipped jogging for 2 days entirely?

**Tip:** In problems involving averages, always check the total sum first, as it often simplifies the calculations needed to find missing data.

Learn how to calculate the daily average distance jogged by an athlete in the last 2 days, given his previous 14-day average and updated 16-day average. This problem covers concepts of averages and simple linear equations, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation