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A car travelling from Town X to Town Y passed a van halfway.The van was travelling in the opposite direction at a uniform speed of 40 km/h.2.5 hours later,the car reached Town Y and the van was still 25 km from Town X.Find the distance between Town X and Town Y.

Guest May 23, 2017

#1**0 **

A car travelling from Town X to Town Y passed a van halfway.The van was travelling in the opposite direction at a uniform speed of 40 km/h.2.5 hours later,the car reached Town Y and the van was still 25 km from Town X.Find the distance between Town X and Town Y.

Average speed =Distance /Time

Let the distance between between the 2 towns =D

Let the average speed of the car =S. But we have:

(1/2D) / 2.5 =S. And we also have:

40 =[(1/2D) - 25] / 2.5, Solve for D, S

**D = 250 Km - distance between towns X and Y S =50 Km/h - average speed of the car**

Guest May 23, 2017

#2**+1 **

A car travelling from Town X to Town Y passed a van halfway.The van was travelling in the opposite direction at a uniform speed of 40 km/h.2.5 hours later,the car reached Town Y and the van was still 25 km from Town X.Find the distance between Town X and Town Y.

\(\frac{s}{2}=2.5h\cdot40\frac{km}{h}+25km\)

\(s=2(2.5h\cdot40\frac{km}{h}+25km)=200km+50km\)

\(\large s=250km\)

\(The \ cities \ X \ and \ Y \ are \ 250\ km \ apart.\)

!

asinus May 23, 2017

#3**+1 **A car travelling from Town X to Town Y passed a van halfway.The van was travelling in the opposite direction at a uniform speed of 40 km/h.2.5 hours later,the car reached Town Y and the van was still 25 km from Town X.Find the distance between Town X and Town Y.

Call the car's rate, R

And the rate it travels times the time it travels = R * 2.5 = the halway distance between the towns = (1)

And the rate the van travels (40 km/hr ) times 2.5 hrs + 25 km = (1)

So....setting these equal, we have

R * 2.5 = 40* ( 2.5) + 25 simplify

2.5 R = 100 + 25

2.5R = 125 divide both sides by 2.5

R = 50 km/hr

Then....this the rate of the car........so......the distance between the towns = 2* (2.5)* 50 = 250 km

CPhill May 23, 2017