Question

Donya ran a 3-kilometer race at a constant speed in 21 minutes 30 seconds. At this speed, how long would it take her to run 1 kilometer?

a) 5 minutes 45 seconds
b) 7 minutes 10 seconds
c) 6 minutes 45 seconds
d) 8 minutes 30 seconds

Answer 1

Donya would take approximately 7 minutes and 10 seconds to run 1 kilometer.

Step-by-step explanation:

To determine how long it would take Donya to run 1 kilometer, we can use the concept of speed. Speed is defined as distance divided by time. In this case, Donya ran 3 kilometers in 21 minutes and 30 seconds. So, her speed would be 3 kilometers / 21.5 minutes.

To find out how long it would take her to run 1 kilometer, we can set up a proportion: 3 kilometers / 21.5 minutes = 1 kilometer / x minutes, where x is the unknown time. To solve for x, we can cross-multiply and then divide: 3 kilometers * x minutes = 21.5 minutes * 1 kilometer.

Dividing both sides by 3 kilometers gives us: x minutes = (21.5 minutes * 1 kilometer) / 3 kilometers. Simplifying this further, we get x = 7.16 minutes.

Therefore, it would take Donya approximately 7 minutes and 10 seconds to run 1 kilometer.