At 8am, Minnie Mouse leaves home driving 35 mph. A half hour later Mickey Mouse drives 50 mph to catch up to her. If Mickey Mouse is delayed 15 minutes with a flat tire, at what time will he catch up to Minnie Mouse
need help on algebra
To find out at what time Mickey Mouse will catch up to Minnie Mouse, we can follow these steps:
1. Convert the delay time from minutes to hours: 15 minutes is equivalent to 0.25 hours since there are 60 minutes in an hour.
2. Determine the head start Minnie Mouse has. She leaves home at 8 am, and Mickey Mouse leaves half an hour later. Therefore, Minnie Mouse has a head start of 0.5 hours.
3. Calculate the distance Minnie Mouse travels during her head start. The formula is distance = speed * time. Minnie Mouse's speed is 35 mph, and she travels for 0.5 hours. So the distance she travels is 35 mph * 0.5 hours = 17.5 miles.
4. Now we need to figure out the time it takes for Mickey Mouse to catch up to Minnie Mouse. The equation we can use is: distance = speed * time. The distance they need to cover to meet is the same as the distance Minnie Mouse traveled during her head start (17.5 miles). Mickey Mouse's speed is 50 mph. Therefore, we have 17.5 miles = 50 mph * time. Rearranging the equation, we get time = distance / speed.
time = 17.5 miles / 50 mph
= 0.35 hours
5. Add the delay time to the time it takes for Mickey Mouse to catch up to Minnie Mouse. The total time will be the time it takes him to catch up (0.35 hours) plus the time he was delayed (0.25 hours).
total time = 0.35 hours + 0.25 hours
= 0.6 hours
6. Add the total time to the time Mickey Mouse leaves. Mickey Mouse leaves half an hour after Minnie Mouse, which is at 8 am + 0.5 hours = 8:30 am.
total time + time Mickey leaves = 0.6 hours + 8:30 am
By adding the total time to the time Mickey Mouse leaves, we can determine the time he will catch up to Minnie Mouse.