Question

The 4 members of a 1600m relay team run the 400m with an average time of 49.2 seconds. The fastest and slowest runner's times vary by 1.8 seconds from the team average. Solve the equation |t - 48.2| = 1.8 and fill in the blanks:

Fastest runner's time: ______ seconds
Slowest runner's time: ______ seconds

Answer 1

To solve the equation |t - 48.2| = 1.8, we find two possible values of t: 50 seconds and 46.4 seconds. The fastest runner's time would be 46.4 seconds and the slowest runner's time would be 50 seconds.

Step-by-step explanation:

To solve the equation |t - 48.2| = 1.8, we need to find the two possible values of t. Since the absolute value of a number is equal to its positive value, we can rewrite the equation as two separate equations: t - 48.2 = 1.8 and t - 48.2 = -1.8. Solving each equation separately, we find that t = 50 seconds and t = 46.4 seconds.

The fastest runner's time would be 46.4 seconds and the slowest runner's time would be 50 seconds.