I have been working on this problem for an hour and a half! I keep getting 1.33 but I know that's not right!!
Jim drove the 120 miles to grandmothers house in 3 hours. He increased the speed by 10 miles per hour on the way home. How long did it take him to drive home?
To find the time it took Jim to drive home, we need to use the formula: Time = Distance / Speed.
Let's break down the problem step by step to find the solution:
1. First, we calculate Jim's initial speed on the way to his grandmother's house. To do this, we use the formula Speed = Distance / Time:
Speed = 120 miles / 3 hours = 40 miles per hour.
2. Next, we calculate Jim's increased speed on the way back home by adding 10 miles per hour to his initial speed:
Increased speed = 40 miles per hour + 10 miles per hour = 50 miles per hour.
3. Now, we can calculate the time it took Jim to drive home using the formula Time = Distance / Speed:
Time = 120 miles / 50 miles per hour.
Time ≈ 2.4 hours.
So, it took Jim approximately 2.4 hours (or 2 hours and 24 minutes) to drive home.
velocity on the way: 120/3 mph
veloicyt on the way back: 120/3 + 10
time to get back: distance/velocity
= 120/(50)=12/5=2 2/5 hrs