Two trucks travel from City A to City B. Truck#1 travels 8 miles faster than truck #2. If truck #1
takes 15 hours to make the trip and truck #2 takes 20 hours to do the same job, how far apart are the 2 cities?
Copyright © 2024 VQUIX.COM - All rights reserved.
Answers & Comments
Verified answer
Vɪ = velocity of Truck 1
Vɪɪ = velocity of Truck 2
Tɪ = travel time of Truck 1 = 15 hours
Tɪɪ = travel time of Truck 2 = 20 hours
d = distance from A to B
Distance = (Velocity) • (Time)
d = (Vɪ) • (Tɪ)
d = (Vɪɪ) • (Tɪɪ)
d = d
(Vɪ) • (Tɪ) = (Vɪɪ) • (Tɪɪ)
(Vɪ) • (15) = (Vɪɪ) • (20)
Given: Vɪ = Vɪɪ + 8
... substitute
(Vɪɪ + 8) • (15) = (Vɪɪ) • (20)
(15)Vɪɪ + 120 = (20)Vɪɪ
120 = (5)Vɪɪ
Vɪɪ = 24 miles ⁄ hour
Vɪ = Vɪɪ + 8
Vɪ = 24 + 8
Vɪ = 32 miles ⁄ hour
d = (Vɪ) • (Tɪ)
d = (32) • (15)
d = 480 miles
d = (Vɪɪ) • (Tɪɪ)
d = (24) • (20)
d = 480 miles ... (checks out)