Jacob rode his bicycle at an average rate of 15 kilometers per hour.
Which statement about Jacob's bike race could be true?
A.
Jacob rode a 2-kilometer race in 30 minutes.
B.
Jacob rode a 4-kilometer race in 15 minutes.
C.
Jacob rode a 20-kilometer race in 5 hours.
D.
Jacob rode a 45-kilometer race in 3 hours.
distance = speed * time
only one choice fits this formula
To determine which statement about Jacob's bike race could be true, we need to calculate the time it would take him to complete each race distance. We can use the formula: Time = Distance/Rate.
A. Jacob rode a 2-kilometer race in 30 minutes.
Time = 2 km / 15 km/h = 0.1333 hours = 8 minutes. This does not match the given time of 30 minutes, so this statement is not true.
B. Jacob rode a 4-kilometer race in 15 minutes.
Time = 4 km / 15 km/h = 0.2667 hours = 16 minutes. This matches the given time of 15 minutes, so this statement could be true.
C. Jacob rode a 20-kilometer race in 5 hours.
Time = 20 km / 15 km/h = 1.3333 hours = 80 minutes. This does not match the given time of 5 hours, so this statement is not true.
D. Jacob rode a 45-kilometer race in 3 hours.
Time = 45 km / 15 km/h = 3 hours. This matches the given time of 3 hours, so this statement could be true.
Based on the calculations, the statements that could be true are:
B. Jacob rode a 4-kilometer race in 15 minutes.
D. Jacob rode a 45-kilometer race in 3 hours.