Some part of a journey of 765 kms was made by car with a speed of 60 km/hr and the remaining journey was made by train with speed of 96 km/hr. If the total time required was 9 hrs. Find the time taken taken by train and distance covered by train
Answers
Answer:
Ist.part distance = xkm
2nd. = 765-x km
x/60 +(765-x)/96=9
multiply by 480
8x+5 (765-x) = 4320
8x +3825-5x = 4320
3x = 4320-3825
3x = 495
x = 495/3=I65
by car dist= x =165 km
time I65 / 60=2 3/4hrs
By train dist=765-165=6ookm
time = 600 / 96=6.1/4 hrs
Answer:
time taken by train = 6hrs 15min
distance covered by train = 600 kms
Step-by-step explanation:
Let time taken by train = x
and time taken by car = y
=》x+y =9 (1)
=》60x+96y=765 (2)
Dividing (2) by 3:-
20x+32y=255 (3)
Multiplying (1) by 20:-
20x+20y=180 (4)
Subtracting (4) from (3):-
12y=75
y=75/12
=6.25hrs
=6hrs 15 mins
Therefore time taken by train = 6hrs 15mins
Disgance travelled by train = 96×y
=96×6.25
=600