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Official Solution:

The athlete starts off at 20 km/day.
At the end of 8 weeks, she should be able to complete 44 km/ day.

Since we've been told that she increases the distance she can run increases linearly each week, this means that each week the extra distance she can run is = (44-20)/8 = 24/8 = 3km each week.Now, let's calculate the distances A and B:


  • After 2 weeks, she will have increased her distance by 2 weeks × 3 km/week = 6 km. So, she will be running 20 km + 6 km = 26 kilometers per day (A = 26 km).
  • After 5 weeks, she will have increased her distance by 5 weeks × 3 km/week = 15 km. So, she will be running 20 km + 15 km = 35 kilometers per day (B = 35 km).
Therefore, A = 26 kilometers per day, and B = 35 kilometers per day.
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Isn't it an AP ?
Bunuel
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Bunuel

An athlete is training for a marathon and is gradually increasing the distance she runs each week. Before training begins, she can run 20 kilometers per day. Her coach estimates that the distance she can run per day will increase at a constant rate over time.

The coach predicts that after 8 weeks of training, she will be running 44 kilometers per day.

Select for D1 the distance, in kilometers per day, that the athlete will be able to run after 2 weeks of training and select for D2 the distance, in kilometers per day, that the athlete will be able to run after 5 weeks of training. Make only two selections, one in each column.



D1D2
24
26
29
32
35

The athlete starts at 20 kilometers per day. After 8 weeks, she is expected to run 44 kilometers per day. Since her distance increases at a constant rate:

\(\frac{44 – 20}{8} = \frac{24}{8} = 3\) kilometers per week.

After 2 weeks:

20 + 2 * 3 = 26 kilometers per day (D1 = 26 km).

After 5 weeks:

20 + 5 * 3 = 35 kilometers per day (D2 = 35 km).


Correct answer:

D1 "26"

D2 "35"
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MuditKapoor
Isn't it an AP ?
Bunuel
Official Solution:
Bunuel

An athlete is training for a marathon and is gradually increasing the distance she runs each week. Before training begins, she can run 20 kilometers per day. Her coach estimates that the distance she can run per day will increase at a constant rate over time.

The coach predicts that after 8 weeks of training, she will be running 44 kilometers per day.

Select for D1 the distance, in kilometers per day, that the athlete will be able to run after 2 weeks of training and select for D2 the distance, in kilometers per day, that the athlete will be able to run after 5 weeks of training. Make only two selections, one in each column.



D1D2
24
26
29
32
35

The athlete starts at 20 kilometers per day. After 8 weeks, she is expected to run 44 kilometers per day. Since her distance increases at a constant rate:

\(\frac{44 – 20}{8} = \frac{24}{8} = 3\) kilometers per week.

After 2 weeks:

20 + 2 * 3 = 26 kilometers per day (D1 = 26 km).

After 5 weeks:

20 + 5 * 3 = 35 kilometers per day (D2 = 35 km).


Correct answer:

D1 "26"

D2 "35"

Yes, with the first term of 20 and a common difference of 3, it forms an arithmetic progression.
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