Problema Solution
Joe left for school on his bike going 8 mph at 7am. at some point his older brother saw him on his bike and asked him if he wanted a ride in his truck the rest of the way to school. joe said yes and jumped into the truck which was a 1968 ford. his brother drove 50 mph to school. they lived on the far outskirts of town so the school was 61 miles away from their house.the total trip took joe 90 minutes. how much time did joe spend traveling in his brother's truck.
Answer provided by our tutors
Let
x = the time Joe spent riding his bike
y = the time that Joe spent traveling in his brother's truck
x = the time he spent
8*x + 50*y = 61
x + y = 1.5 (since 90 min = 90/60 = 1.5 hours)
The solution of the system equations is
x = 1/3 hours
y = 7/6 hours = 1 1/6 hour = 1 hour 10 min
Joe spent 1 hour 10 min traveling in his brother's truck.