Question

A jogger is training for a 5 km run.
She starts training with 200 m and increases
her run by 50 m a day.
How many days does it take her to reach 5 km?​

Answer 1

Answer:

Step-by-step explanation:

in such case,

the question will be solved by AP

a=200

d=50

=5000

=a + (n-1)d(where n being the number of day required for her to reach 5km)

:.5000 = 200 + 50n - 50

:.5000 - 150 = 50n

:.4850 = 50n

:.4850/50 = n

:.97 days = n

:.Jogger will take 97 days to reach 5km

Answer 2

Given:

Initial distance covered=200m

Increase=50m/ day

To find:

The number of days taken to cover 5 km

Solution:

The required number of days is 97.

We can obtain the days by forming an arithmetic progression of the distance covered.

So, the initial distance covered=200m

The distance covered the next day=200+50=250

The total distance=5km=5000m

Now, the progression is as follows-

200, 250, 300, and so on up to 5000.

Let the required number of days be N.

An=a+(N-1)d

Here, An=5000, a=200 and d=50.

Using values,

5000=200+(N-1)50

4800/50=N-1

96=N-1

N=97

Therefore, the required number of days is 97.