Question

Amber trains for 1h one day. She runs for 10 min, walks for 5 min, runs for 15 min, and walks for 5 min. Her running time increases by 5 min each interval, but she always walks for 5 min. Use fractions of one hour. Write an addition equation that represents Amber's total running time. Find her total running time.

Answer 1

Part A

The addition equation that gives Amber's total running time is presented as follows;

Amber's total running time = 1/6 hr + (1/6 + 1/12) hr + 5/12 hr

Part B

Amber's total running time = 5/6 hr = 50 minutes

Explanation:

Part A

The given parameters are;

The time duration Amber first ran = 10 min = 1/6 hr

The time duration Amber walks in between = 5 min = 1/12 hr

The increase in the number of minutes Amber runs in subsequent times = 5 min = 1/12 hr

Therefore, the Amber's total time is given as follows;

1/6 hr + 1/12 hr + (1/6 + 1/12) hr + 1/12 hr + x hr = 1 hr

7/12 hr + x hr = 1 hr

x hr = 1 hr - 7/12 hr = 5/12 hr

x = 5/12

Therefore, her total running time is given by the following addition equation;

Amber's total running time = 1/6 hr + (1/6 + 1/12) hr + 5/12 hr

Part B

Therefore her total running time is given as follows;

Amber's total running time = 1/6 hr + (1/6 + 1/12) hr + 5/12 hr = 5/6 hr = 50 minutes