speed of a car

Algebra Level pending

Town 1 is 600 kilometers from Town 2. A car from town 1 and a truck from town 2 start moving toward each other. They meet 5 hours later. If the speed of the car is 4 kph faster than the truck, what is the speed of the car in kph?

Clarification: kph means kilometers per hour


The answer is 62.

Marvin Kalngan by Marvin Kalngan , 38, Philippines

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Mahdi Raza
Jun 3, 2020

Let the speed of car be ( x ) (x) , then speed of the truck is ( x − 4 ) (x-4) , Their combined speed will be 2 x − 4 \color{#20A900}2x-4

Town 1 ← 600 → Town 2 \text{Town 1}\quad \leftarrow 600 \rightarrow \quad \text{Town 2}

Combined Speed = Distance Time Combined Speed = 600 5 Combined Speed = 120 2 x − 4 = 120 2 x = 124 x = 62 where x is speed of the car \begin{aligned} \text{Combined Speed} &= \dfrac{\text{Distance}}{\text{Time}} \\ \text{Combined Speed} &= \dfrac{\text{600}}{\text{5}} \\ \text{Combined Speed} &= 120 \\ {\color{#20A900}{2x-4}} &= 120 \\ 2x &= 124 \\ x &= \boxed{62} \quad \color{#3D99F6} \text{where x is speed of the car} \end{aligned}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...