A train leaves from coimbatore at 7am and reaches another station
Answers
Answer:
Ans:
9:24
am
Let distance between A and B be
s
km
First train (starting from A) took
4
hours to travel the distance
s
whereas second train(starting from B) took
3
1
2
=
7
2
hours to travel the same distance
s
. Therefore, their speeds can be taken as
s
4
km/hr and
s
(
7
2
)
km/hr respectively.
Let both trains meet
t
hours after
8
am. Then first train (starting from A) would have travelled
(
t
+
1
)
hours whereas the second train (starting from B) would have travelled
t
hours. Therefore, distance travelled by them would be
s
(
t
+
1
)
4
km and
s
t
(
7
2
)
km respectively.
When both trains meet, sum of the distances travelled by the trains is
s
⇒
s
=
s
(
t
+
1
)
4
+
s
t
(
7
2
)
⇒
1
=
(
t
+
1
)
4
+
t
(
7
2
)
⇒
1
=
(
t
+
1
)
4
+
2
t
7
⇒
28
=
7
(
t
+
1
)
+
8
t
⇒
28
=
15
t
+
7
⇒
15
t
=
21
⇒
t
=
21
15
⇒
t
=
7
5
hours
=
1
2
5
hours
=
1 hour 24 minutes
Answer:
9:24 a. m.
Thanks ✌✌......