There are two possible routes from Zindhi to Katifa. One route is through Zindhi/Chadler expressway which is 100km and the other is through Adfeti and Ngonu covering a distance of 80km. A motorist going through the expressway can travel 10km/h faster than the one going through Adfeti and Ngonu, and arrive Katifa 5 minutes earlier as well. What is the time spent on the journey to Katifa by the motorist travelling through the expressway.


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Question Number 202086 by necx122 last updated on 20/Dec/23

$T h e r e a r e t w o p o s s i b l e r o u t e s f r o m$ $Z i n d h i t o K a t i f a . O n e r o u t e i s t h r o u g h$ $Z i n d h i / C h a d l e r e x p r e s s w a y w h i c h i s$ $100 k m a n d t h e o t h e r i s t h r o u g h A d f e t i a n d$ $N g o n u c o v e r i n g a d i s t a n c e o f 80 k m . A$ $m o t o r i s t g o i n g t h r o u g h t h e e x p r e s s w a y$ $c a n t r a v e l 10 k m / h f a s t e r t h a n t h e o n e$ $g o i n g t h r o u g h A d f e t i a n d N g o n u, a n d$ $a r r i v e K a t i f a 5 m i n u t e s e a r l i e r a s w e l l .$ $W h a t i s t h e t i m e s p e n t o n t h e j o u r n e y$ $t o K a t i f a b y t h e m o t o r i s t t r a v e l l i n g$ $t h r o u g h t h e e x p r e s s w a y .$
	Answered by mr W last updated on 20/Dec/23

	$\frac{100}{t} = \frac{80}{t + \frac{1}{12}} + 10$ $12 t^{2} - 23 t - 10 = 0$ $t = \frac{23 + \sqrt{1009}}{24} \approx 2.28 h = 2 h 16 m$
	Commented by necx122 last updated on 20/Dec/23
	This too is clear. Thank you so much sir.
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