Question

Alejandro rode his bike to work at an average rate of 15 miles per hour. To go home, he put his bike on the front rack of the bus and took the bus home along the same route, traveling at an average rate of 22.5 miles per hour. If Alejandro’s bike ride to work took 45 minutes, how many hours did the bus ride home take?

0.25 hours
0.3 hours
0.5 hours
0.75 hours

Answer 1

Option C. 0.5 hours

Explanation:

Alejandro rode his bike to work at the speed = 15 miles per hour

his bike ride to work took time = 45 minutes = 0.75 hours

first we will calculate the distance Alejandro rode by his bike

Since Speed = Distance/Time

Distance = speed × time = 15×0.75 = 11.25 miles

Now we will calculate the time taken by bus to ride home.

Time = Distance/speed = 11.25/22.5 = 0.5 hours

Therefore Option C 0.5 hours is the answer.

Answer 2

0.5 hours

Explanation

distance = speed × time

The bike took 45 minutes. Converting this time to hours;

45 minutes = 45/60 hours

= 3/4 hours

Distance = 3/4 × 15

= 11.25 miles

time = distance / speed

= 11.25/22.5

= 1/2 hours

= 0.5 hours