Question

A car travels for 4(t+3) hours at a constant speed of 10(t+3)km/h if the total distance traveled by the car is 810km find the speed of the car?

Answer 1

Answer:

$t=54.8571428571km$

Step-by-step explanation:

$4(t+3)+10(t+3)----> 4t+12+10t+30\\\\810km= 14t+42\\768km=14t\\t= 54.8571428571km$

Hope This Helps!!!!

Answer 2

Answer:

45 km/h

Step-by-step explanation:

4(t+3) = 4t + 12

10(t+3) = 10t + 30

(4t + 12) (10t + 30) = 40t² + 240t + 360 = 810

4t² + 24t - 45 = 0

(2t - 3) (2t +15) = 0

t = 3/2 or t = - 15/2

Speed: 10(t+3) = 45 or -75

speed is positive: speed = 45 km/h