Linear Equation in 2 variables

Algebra Level 2

Two places A and B are 120 km apart from each other on a highway. A car starts from place A and another car from place B at the same time. If they move in the same direction , they meet in 6hours and if they move in opposite directions, they meet in 1 hour 12 minutes. Find the speed of each car.

Let the speed of the car at A be x, and the speed of the car at B be y.

x=55 , y=45 x=70 , y= 30 x=60 , y=40 x= 40 , y=60

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

Chinmoy Choudhury
May 29, 2014

When they drive towards each other, relative speed required = 120 km/ 1.2 hrs = 100 km/hr

When they drive in the same direction, provided A has to cover more distance, relative speed required = 120 km/6 hrs = 20 km/hr. Hence we get X + Y = 100 and X - Y = 20...solving we get X = 60 Km/hr, Y = 40 Km/hr

That's the problem. Nothing specifies which car is X, and which Y. So y=60, x=40 is also a valid answer. The problem should be fixed I think.

Steven Perkins - 7 years ago

Log in to reply

I will edit it and specify that right now

Ankit Vijay - 7 years ago

My answer was right... but i took arbitarilu x as y and y as x

rishabh singhal - 7 years ago

aww dang I was on a streak :( It doesn't say what X and Y are.

Asher Joy - 7 years ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...