Speed word problem
(Oklahoma, United States)
A truck left a depot at noon traveling an average speed of 40 kilometers per hour. How far from the depot and what time will it overtake another truck, which left the same depot 2 hours earlier and was traveling 30 kilometers per hour.
Let t be the time it takes the truck traveling 40 km/h to overtake the truck traveling 30 km/h.
Then, the truck traveling 30 km/h will be overtaken in t + 2 hours
Truck traveling 40 km/h
d = vt
d = 40t
Truck traveling 30 km/h
d = vt
d = 30(t+2)
Truck traveling 40 km/h will meet with truck traveling 30 km/h when the distance is the same.
40t = 30(t + 2)
40t = 30t + 60
40t - 30t = 30t - 30t + 60
10t = 60
Since 10 times 6 = 60, then t = 6
Truck traveling 40 km/h will overtake the other truck after 6 hours or at 6:00 pm
d = 40 x 6 = 240
d = 30 x(6 + 2)
d = 30 x 8 = 240
The trucks will be 240 km away from the depot.
Click here to post comments
Join in and write your own page! It's easy to do. How? Simply click here to return to System of linear equations.
Jan 26, 23 11:44 AM
Learn about the quadratic formula, the discriminant, important definitions related to the formula, and applications.
Jan 25, 23 05:54 AM
What is the area formula for a two-dimensional figure? Here is a list of the ones that you must know!