Jojo loves to travel and discover new tourist destinations in Mindanao for his vlogs in youtube. while traveling to Zamboanga City to visit the Amazing Great Santa Cruz Island popularly known as the Pink island, His car travels 20 kph faster than a truck going also to the same city. Jojo car covers 350 km in two hours less than the time it takes the truck to travel the same distance.
a. What is the speed of jojos car?
b.How about the speed of the truck?
a. What is the speed of jojos car?
b.How about the speed of the truck?
Answers & Comments
Answer:
a. 70 kph
b. 50 kph
Step-by-step explanation:
Let u+20 be the speed of jojo's car
t-2 be the time
(u+20)(t-20)=ut-2u+20t-40
350-2u+20(350/u)=350 -cross out the first and last 350
-2u+20(350/u)=0
-2u+(7000/u)-40=0
-2u^2-40u+7000=0 divided by a= -2
- 2
u^2+20u-3500=0
(u+70)(u-50)=0
u=-70 u=50
-Ignore the negative because there is no negative for a speed
Thus, the speed of the truck is 50kph and the speed of jojo's car ,which is more than 20 of the truck, is 70 kph
- For time, time= distance/speed
t =350/50=7- time of the truck, and jojo's car is less than 2 hours so 7-2=5
-I know my process is in chaos but please try to understand
-i just solved it, i understand if there are errors