two friends Aman and Raman are going to Ahmedabad from Delhi via Jaipur. Aman started at 8 am from Delhi and maintained a speed of 50 kmph upto Jaipur and 60 km in between Jaipur and Ahmedabad whereas Raman left Delhi at 9.45 am and maintained an average speed of 60 kmph in between Delhi and Jaipur and 80 kmph between Jaipur and Ahmedabad. Both Aman and Raman reached Ahmedabad at 4 pm. What is the distance between Jaipur and Ahmedabad?

Question

two friends Aman and Raman are going to Ahmedabad from Delhi via Jaipur. Aman started at 8 am from Delhi and maintained a speed of 50 kmph upto Jaipur and 60 km in between Jaipur and Ahmedabad whereas Raman left Delhi at 9.45 am and maintained an average speed of 60 kmph in between Delhi and Jaipur and 80 kmph between Jaipur and Ahmedabad. Both Aman and Raman reached Ahmedabad at 4 pm.  What is the distance between Jaipur and Ahmedabad?

anonymous · Answer

total time taken by aman = 8 hours  
distance between D to J = x
                           J to A= y
8 = 50x+60y
 now by the same method form the equations for raman

anonymous · Answer

it will become a system of equation in two variables

anonymous · Answer

6.25=60x+80y-2nd
x=67/160
y=137/400
x+y=609/800

anonymous · Answer

is it right

anonymous · Answer

yeah..

anonymous · Answer

its not the answer.i think becoz he maintained inbetween avg speed

tkhunny · Answer

There is enough information.  I did it this way, using Distance = Rate * Time four different times.

DJ - Distance from Delhi to Jaipur
t - Aman's time for DJ
s - Raman's time for DJ
JA - Distance from Jaipur to Ahmedabad

Aman - Total Trip, 8 Hours

DJ = t*50
JA = (8-t)*60

Raman - Total Trip, 6.25 hours

DJ = s*60
JA = (6.25-s)*80

Four equations.  Four unknown quantities.  We're almost done.