Erin is training for a marathon and wants to run at least 14 1/2 miles. she has already run 3 7/8 miles and starts to jog at a steady rate of 8 1/2 miles per hour. write an inequality using the time t, in hours, to find the possible amounts of time remaining for her jog.
first. subtract the distance already ran from total distance... then, using formula Time =Distance/Speed ans.. 1 hr 31min
Answer:
time ≥ 1 1/4 hours
Step-by-step explanation:
She wants to run 14 1/2 miles
She has already run 3 7/8 miles
miles left to run = 14 1/2 - 3 7/8 = 10.625 miles
speed = distance/time
isolating time:
time = distance/speed
Her jogging speed is 8 1/2 miles/hour. Then, time will be:
time ≥ 10.625 /(8 1/2)
time ≥ 1 1/4 hours
If she maintains her speed, she will be jogging for 1 hour and 15 minutes, but if her speed drops, she will last more time