Town X and town Y are 270 km apart A car started from town X

Town X and town Y are 270 km apart. A car started from town X towards town Y at a uniform
speed of 60 km/h while a motorcycle started from town Y to town X at a uniform speed
of 90 km/h. Both the car and the motorcycle started their journey at 5:15 a.m.
(1) At what time did they pass each-other?
(2) How far away was the car from town Y when it passed the motrocycle?

Solution

D=RT
270=60T+90T
270=150T
T=270/150
T=1.8 OR 1:48 HRS. AFTER THEY LEAVE THEY WILL MEET ON THE ROAD.
5:15+1:48=7:03 IS THE TIME THEY PASSED.
60*1.8=108 MILES FROM Y IS THE CAR WHEN THEY MEET.
PROOF:
270=60*1.8+90*1.8
270=108+162
270=270