+0  
 
+1
110
3
avatar

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
Sort: 

3+0 Answers

 #1
avatar
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
avatar+7073 
+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.

 

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

 

 

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

 

\(\large s=250km\)

 

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

 

laugh  !

asinus  May 23, 2017
edited by asinus  May 23, 2017
 #3
avatar+77131 
+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

 

 

 

 cool cool cool

CPhill  May 23, 2017

17 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details