we know that
speed=distance/time
It takes 40 min for a bus to cover 36 miles
then
speed of the bus=distance/time--------> 36/40-------> 0.9 miles/min
speed of the car=1.4*speed of the bus-----> 1.4*0.9----> 1.26 miles/min
For time=t
bus
t=distance/speed--------> t=x/0.9------> equation 1
car
t=distance/speed--------> t=(36-x)/1.26-----> equation 2
equate equation 1 and equation 2
x/0.9=(36-x)/1.26-----> 1.26x=0.9*(36-x)-----> 1.26x=32.4-0.9x
1.26x+0.9x=32.4------> x=32.4/2.16-------> x=15 miles
equation 1
t=x/0.9------> 15/0.9------> t=16.67 min
the answer is
they will meet at the time 16.67 minutes
