# Abdul travelled 300km by trains and 200km by taxi, it took 5 hours 30 minutes.but if he travels 260km by train and 240 km by taxi,he takes 6 minutes longer.find the speed of the train and that of the taxi.

1
by dkavyasri13

2015-05-27T11:35:28+05:30
1st case :
distance travelled by train = 300km
and by taxi = 200km

Let speed of train be x km/hr     and     that of taxi be y km/hr.

so, time taken by train = d/s                        time taken by taxi = d/s
= 300/x                                                = 200/y

total time taken = 5hrs 30 mins = 5 1/2 hrs

so, 300/x +200/y = 5 1/2 by solving we get : 600y + 400x = 11xy..........1

2nd case :

distance travelled by train = 260 km          and by taxi = 240 km

here also speed of train be x km/hr and of taxi be y km/hr

Then time = d/s
train time= 260/x hr                            of taxi = 240/y hr
combiningly,total  time =

260/x + 240/y = 5hrs 36 mins
=>  or 260/x + 240/y = 5 3/5   on solving we get,

1300y + 1200x = 28xy...............2

eq 1 × 3 = 1800y + 1200x = 33xy

on solving 1 and 2 we get:
x=100 km/hr
y= 80 km/hr
hence solved................